# Math Help: How to Work Out a Fraction of a Number

## Fraction Of Something Video

To work out a fraction of a number all you need to do is divide the number by the denominator of the fraction and multiply this answer by the numerator.

**Example 1**

Work out 3/8 of 48.

First of all divide 48 by the denominator:

48 ÷ 8 = 6 (this gives 1/8 of 48)

Now multiply this answer by the numerator:

6 × 3 = 18 (this gives 3/8 of 48)

**Example 2**

Work out 2/9 of 36.

First of all divide 36 by the denominator:

36 ÷ 9 = 4 (this gives 1/9 of 36)

Now multiply this answer by the numerator:

4 × 2 = 8 (this gives 2/9 of 36)

**Example 3**

Work out 4/5 of 60.

First of all divide 60 by the denominator:

60 ÷ 5 = 12 (this gives 1/5 of 60)

Now multiply this answer by the numerator:

12 × 4 = 48 (this gives 4/5 of 60)

**Example 4**

Work out 5/11 of 77.

First of all divide 77 by the denominator:

77 ÷ 11 = 7 (this gives 1/11 of 77)

Now multiply this answer by the numerator:

7 × 5 = 35 (this gives 5/11 of 77)

**Example 5 **

A fuel tank holds 14 gallons of fuel when full. If the tank has 3/7 of fuel left in the tank, work out how many gallons of fuel are left.

Here you need to calculate 3/7 of 14 gallons

First of all divide 14 by the denominator:

14 ÷ 7 = 2 (this gives 1/7 of 14)

Now multiply this answer by the numerator:

2 × 3 = 6 (this gives 3/7 of 14)

So there are 6 gallons of fuel left in the tank.

## Questions & Answers

- Helpful 27
What is 3/14 add 3/8?

First make common denominators so the two fractions can be added together.

Multipliy the first fraction by 4 to give 12/56, and the second fraction by 7 to give 21/56.

Now add these fractions together to give 33/56.

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What is 1/7 of 3.50?

Just divide 3.50 by 7 as 1/7 means divide by 7. This will give an anwer of 0.5.

Helpful 20Can you work out 6/9 of 18?

18 divided by 9 is 2, and 2 times 6 is 12.

Follow the rule divide by the bottom and times by the top.

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What is 1/4 of 1640?

To find one quarter of a number divide the number by 4.

So 1640 divided by 4 is 410.

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What is 4/5 of 420?

Apply the rule divide by the bottom and times by the top.

420 divided by 5 is 84, and 84 times 4 is 336.

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What is 1 1/4 of 96?

Convert 1 1/4 to an improper fraction to give 5/4.

Now work out 5/4 of 96.

96 divided by 4 is 24, and 24 times 5 is 120.

Helpful 1What is 4/11 of 66?

Use the method divide by the bottom and times by the top.

66 divided by 11 is 6, and 6 times 4 is 24.

Helpful 6What is 3/8 of 128 ?

Use the rule "divide by the bottom and times by the top"

128 divided by 8 gives 16.

16 multiplied by 3 gives 48.

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What is 1/9 of 96?

To work out one ninth of a number divide the number by 9.

So 96 divided by 9 gives 10.7 (rounded to 1 decimal place).

Helpful 16What is 4/7 more than 63?

You need to use the rule "divide by the bottom and times by the top". 63 divided by 7 = 9, and 9 multiplied by 4 is 36. Finally add the 36 on to the 63 to give 99.

Helpful 14What is 4/7 of 14?

Follow the rule, "divide by the bottom and times by the top".

So 14 divided by 7 = 2, and 2 multiplied by 4 = 8.

Helpful 14What is 1/8 of 6?

To find 1/8 divide the number by 8.

6 divided by 8 gives 0.75.

Helpful 10What is 1/5 of 7?

1/5 of a number can be found by dividing the number of 5.

Therefore, 7 divided by 5 gives 1.4

Helpful 9What is 5/7 of 100?

Divide 100 by 7 to get 14.28. 14.28 multiplied by 5 is 71.4, rounded to 1 decimal place.

Helpful 98% of 60 is 1/5 of what number?

First work out 8% of 60 which is 4.8.

So one fifth of something is 4.8.

Since 1/5 means divide by 5, multiply 4.8 by 5 to find the missing number.

The asnwer will be 24.

Helpful 7What is 1/8 of 14?

1/8 of a number can be found by dividing the number by 8.

So 14 divided by 8 gives 1.75.

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If 1/9 is 49 what is the number?

Just multiply 49 by 9 to give 441.

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What is 6/8 of 40?

40 divided by 8 is 5, and 5 multiplied by 6 is 30.

Helpful 6What is 4/5 of 30?

First work out 1/5 of the number by dividing by 5, so 30 divided by 5 is 6.

Now work out 4/5 by mutiplying the answer by 4, so 6 multiplied by 4 gives 24.

Helpful 6What is 1/5 of 8?

To work out 1/5 divide the number by 5.

8 divided by 5 is 1.6.

Helpful 6How do you figure out what is 5/8 of 4/5?

You can still use the rule divide by the bottom and times by the top even if your amount is a fraction.

Divide 4/5 by 8 to give 1/10, now multiply 1/10 by 5 to give 1/2.

Helpful 6What is 3/6 of 248?

Its probably easier to cancel 3/6 down to 1/2, so you need to work out one half of 248.

So 248 divided by 2 gives 124.

Helpful 63/4 of what number is 96?

You will need to apply the rule divide by top and multiply by the bottom.

96 divided by 3 is 32, and 32 times 4 is 128.

Helpful 5What is 3/5 of 60 and how do you calculate it?

Divide 60 by 5 to give 12, then multiply 12 by 3 to give 36.

Follow the rule divide by the bottom and times by the top.

Helpful 2Is 3/14 less than 6/7?

Multiply the numerator and denominator of 6/7 to give 12/14, so 3/14 is less than 6/7.

Helpful 52/3 of a number is 24. What is 5/9 of the number?

First divide 24 by to to give 12, and multiply 12 by 3 to give 36.

Now find 5/9 of 36, by dividing 36 by 9 to give 4, and multiplying 4 by 5 to give 20.

Helpful 5How do you calculate 1/7 x 4?

4 can be written as a fraction as 4/1.

Now, multiply the two fractions together 1/7 times 4/1 = 4/7.

Helpful 5Can you work out 3/12 of 48?

Follow the rule divide by the denominator and multiply by the numerator.

48 divided by 12 gives 4, and 4 multiplied 3 gives 12.

Helpful 5What is 1/7 0f 15000?

To work out 1/7 of a number divide the number by 7.

So 15000 divided by 7 gives 2142.86 rounded to decimal places.

Helpful 5What is 5/9 out of 27?

This is working out a fraction of an amount, so apply the rule "divide by the bottom and times by the top".

So 27 divided by 9 is 3, and 3 multiplied by 5 is 15.

Helpful 5What is 5/8 of 40 ?

40 divided by 8 is 5, and 5 multiplied by 5 is 25.

Helpful 5What is 6/11 divided by 3?

First work out 3 divide by 11 to give 0.27..., and 0.27... multiplied by 6 gives 1.64 to 2 decimal places.

Helpful 5- Helpful 2
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What is 1\5 x 4\5?

Just multiply the numerators and denominators together of both fractions to give 4/25.

Helpful 4What is 3/4 of 96?

First divide by the denominator to give 24, now multiply 24 by the numerator to give 72.

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What is 5/7 of 84?

84 divided by 7 gives 12, and 12 mulplited by 5 gives 60.

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- Helpful 3
1/6 of what number is 11?

To find one sixth of something you divide by 6.

But since you have the answer already to the question, then multiply the 11 by 6 instead to give 66.

Helpful 4Orla spent one-quarter of her money on a t-shirt, and 3 eighths on a jumper. What fraction of her money had she left?

She spent 5/8 on clothes if you add the two fractions together, so 3/8 are left over.

Helpful 4- Helpful 3
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7/8 of 144 is how much more than 96?

Follow the rule divide by the bottom and times by the top.

144 divided by 8 is 18, and 18 times 7 is 126.

Now work out the difference between 126 and 96 which is 30.

Helpful 2What is 1/4 of 5/6?

Just divide 1/4 by 5/6 to give 3/10.

Helpful 3If 2/9 of a number is 36, what’s the number?

Apply the divide by the top, and times by the bottom as you need the number in the question.

36 divided by 2 is 18, and 18 times 9 is 162.

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- Helpful 2
What is 6/7 of 35?

First, find 1/7 by dividing by 7 to give 5.

Now find 6/7 by multiplying this answer by 6 to give 30.

Helpful 3If 4/3 of a number is 1200, what is 3/4 of that number?

First divide 1200 by 4 to give 300. Now multiply 300 by 3 to give 900.

Now work out 3/4 of 900 by dividing by the bottom and multiplying by the top.

900 divided by 4 is 225, and 225 times 3 is 675.

Helpful 2?/6 of 1.8=1.5

First of all divide 1.8 by 6 to give 0.3.

Now 0.3 multiplied by ? gives 1.5.

Find ? by dividing 1.5 by 0.3 to give an answer of 5.

Helpful 336 is 3/8 of what number?

The rule divide by the bottom and times by the top must be applied in reverse, as the number in the question is needed.

First divided 36 by 3 to give 12, and then multiply 12 by 8 to give 96.

Helpful 3What is 7/8 of 48kg?

Follow the rule divide by the bottom and times by the top.

48 divided by 8 is 6, and 6 multiplied by 7 is 42.

So the answer is 42kg.

Helpful 3- Helpful 2
7/10 of a number gives 630. What is the number?

You need to use the rule divide by the bottom and times by the top in reverse, as the number in the question is missing.

So instead divide by the top, and times by the bottom.

630 divided by 7 gives 90, and 90 multiplied by 10 gives 900.

Helpful 3What is 3/7 of 84?

84 divided by 7 is 12, and 12 multiplied by 3 is 36.

Helpful 3What is 1/8 x 14?

Write 14 as a fraction as 14/1. Now multiply the fractions together to give 14/8.

This can be simplified to 7/4 or 1.75.

Helpful 3What is 4/5 of 12?

Follow the rule divide by the bottom and multiply by the top.

12 divided by 5 is 2.4, and 2.4 times 4 is 9.6.

Helpful 3What is 2/3 of 11?

Apply the rule divide by the bottom and times by the top.

11 divided by 3 gives 11/3.

11/3 multiplied by 2 gives 22/3 which as a mixed number is 7 1/3.

Helpful 3- Helpful 2
What is 1/9 of 12?

To find 1/9 of a number divide the number by 9.

12 divided by 9 is 4/3 or 1.3 recurring.

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What is 2/9 of 42?

Divide 42 by 2 give 21, and then multiply 21 by 9 to give 189.

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What is 6 as a fraction of 15?

Put 6 on the numerator, and 15 on the denominator to give 6/15, which sipmplifies to 2/5.

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What is 2/3 of 6?

Follow the rule divide by the bottom and times by the top.

6 divided by 3 is 2, and 2 times 2 is 4.

Helpful 2- Helpful 2
What is 4/7 of 91?

91 divided by 7 is 13, and 13 times 4 is 52.

Helpful 2What is 4/5 of 200?

Follow the rule divide by the bottom number and times by the top number.

200 divided by 5 is 40, and 40 times 4 is 160.

Helpful 2What is 1/8 of 48 bottles of water?

To work out 1/8 of any number divide the number by 8.

48 divided by 8 is 6.

So there are 6 bottles of water.

Helpful 2What is 2/11 in decimal form?

Just work out 2 divided by 11 using your calculator or by short division to give 0.181818...

Helpful 2- Helpful 2
What is 3/4 of 60?

Use the rule divide by the bottom and times by the top.

60 divided by 4 is 15, and 15 multiplied by 3 is 45.

Helpful 2what is 1 3/4 % of 1200?

Work out 1% of 1200 by dividing 1200 by 100 to give 12.

Now multiply 12 by 1.75 to give 21.

Helpful 2How do l work out 1/8 of 125?

To work out one eigth of any number divide the number by 8. So 125 divided by 8 gives 15.625.

Helpful 2What is 3/5 of 60?

60 divided by 5 is 12, and 12 multiplied by 3 gives 36.

Helpful 2What is 1/7 of 77?

To work out one-seventh of a number divide the number by 7.

So 77 divided by 7 is 11.

Helpful 2What is 18.54 million divided by 2?

It might be easier to convert 18.52 million to an ordinary number first, 18.52 million = 18,520,000. Now carry out short division, or another method, to give an answer of 9,260,000.

Helpful 2If 2/7 of an amount is 40, what is the whole amount?

You need to use the rule divide by the top and times by the bottom, as you are after the original amount.

40 divided by 2 is 20, and 20 times 7 is 140.

Helpful 24% of a number is what fraction of that number?

To answer this question convert 4% into a fraction and simplify.

4% means 4 out of 100 so the fraction is 4/100.

Now simplify 4/100 by dividing the numerator and denominator by 4.

This gives a final answer of 1/25.

Helpful 2What is 1 1/2 x 60?

It's probably best to convert 1 1/2 to 1.5, and then work out 1.5 multiplied by 60 to give 90.

Helpful 220 is 4/7 of what number?

The rule will have to be done in reverse, so "divide by the top and times by bottom".

20 divided by 4 gives 5, and 7 multiplied by 5 gives 35.

The answer can be checked using the normal rule.

Helpful 2What is 4/9 of 63L?

Use the rule divide by the bottom and times by the top.

63 divided by 9 gives 7, and 7 times by 4 gives 28L.

Helpful 24/7 of 48 is about?

First round 48 to the nearest multiple of 7 which is 49.

Now work out 4/7 of 49.

49 divided by 7 is 7, and 7 times 4 is 28.

So the answer will be about 28.

Helpful 2What is 5/8 of 48?

48 divide by 8 is 6, and 6 multiplied by 5 is 30.

Helpful 2What is 1/9 of 60?

To find one ninth of any number just divide by 9, so the answer is 6.7 rounded to 1 decimal place.

Helpful 2What is 7/5 of 3.5?

The rule divide by the bottom and times by the top can still be used if the fraction is improper.

3.5 divided by 5 gives 0.7, and 0.7 multiplied by 7 gives 4.9.

Helpful 2What is 0.25 of 40?

First convert 0.25 to a fraction which is one quarter.

So you need to work out one quarter of 40.

Do this by dividing by 4, so the answer is 10.

Helpful 2What is 5/6 of 48?

First work out 48 divided by 6 which is 8.

Now multiply 8 by 5 to give a final answer of 40.

Helpful 2Seven-eighths of a number is 49. What is the number?

Instead of following the rule "divide by the bottom and times by the top", do the inverse to this which is "divide by the top and times by the bottom".

So 49 divided by 7 is 7, and 7 multiplied 8 is 56.

Helpful 2How do I work out 3% of 8,500,000?

First work out 1% of 8.5 million by dividing 8.5 million by 100 to give 85,000.

Now multiply 85,000 by 3 to give 255,000.

Helpful 2What is two tenths of twenty?

One tenth of twenty is 2, and 2 times 2 is 4.

Helpful 2What is 1/3 of 40,000?

To work out one third divide the number by 3.

40,000 divided by 3 gives 13,333.3 (to 1 decimal place)

Helpful 2What is 1 5/8 of 56?

Convert the mixed number to an improper fraction which is 13/8.

Now work out 13/8 of 56 by using the rule divide by the bottom and times by the top.

56 divided by 8 is 7, and 13 times 7 is 91.

Helpful 2Can you tell me how do we get the answer to one ninth of a number is 6. What is the number?

Just multiply the 6 by 9 to give 54. So the number you are looking for is 54.

Helpful 2what is 3 7/8 of 9?

First of all convert 3 7/8 to an improper fraction which is 31/8.

Now apply the rule divide by the bottom and times by the top.

9 divided by 8 gives 1.125, and 1.125 multiplied by 31 gives 34.875.

Helpful 2What is 5/9 of 72?

72 divided by 9 gives 8, and 8 multiplied by 5 gives 40.

Helpful 2- Helpful 1
- Helpful 1
Can you work out 5/6 of 84?

Fisrt work out 84 divided by 6 to give 14. Now multiply 14 by 5 to give 70.

Helpful 2What is 3/4 of 48?

Use the rule in the artice "divide by the bottom, and times by the top".

48 divided by 4 is 12, and 12 multiplied by 3 is 36.

Helpful 2For what number is 27 3/4ths?

First, divide 27 by 3 to give 9, and then multiply 9 by 4 to give 36.

Helpful 2What is 1/3 of 5.28 million?

To work out 1/3 you just need to divide your number by 3. So 5,280,000 divided by 3 is 1,760,000.

Helpful 2What is 5/7 of 35?

Follow the rule divide by the bottom, and times by the top.

35 divided by 7 gives 5, and 5 multiplied by 5 gives 25.

Helpful 2What is the 1/3 of 6000?

Just divide 6000 by 3 to find one-third of any number.

This will give you 2000.

Helpful 2- Helpful 1
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What is 2/5ths of 60?

Divide 60 by 5 to give 12, and 12 times by 2 is 24.

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What number is 1/7 of 14?

To work out one seventh of any number divide by 7. So 14 divided by 7 is 2.

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What is 5/11 of £176?

First, work out 1/11 by dividing 176 by 11 to give 16.

Now, multiply 16 by 5 to give 80.

Helpful 1What is 1 1/2 x 63?

On this one its probably best to convert 1 1/2 to a decimal which is 1.5

Now work out 1.5 times 63 which is 94.5.

Helpful 1- Helpful 1
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What is 7/8 of 728?

Divide 728 by 8 to give 91, and then multiply 91 by 7 to give 637.

Helpful 1What is 2/8 of 20?

Follow the rule divide by the bottom and times by the top.

20 divided by 8 is 2.5, and 2.5 multiplied by 2 is 5.

Helpful 1- Helpful 1
What is 1/4 of £15.10?

To work out 1/4 of any number divide the number by 4.

£15.10 divided by 4 is £3.775, or £3.78 to the neared penny.

Helpful 1- Helpful 1
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How do I work out 1/8 of 5? (Because normally you would divide by the bottom and times by the top, but 8 doesn’t go into.)

Yes the method you are using is correct.

Work out 5 divided by 8 on a calculator or use a short division method.

The answer should be 0.625.

Helpful 1What is 48 minus 3/4 ?

Change 3/4 to a decimal to give 0.75.

Now work out 48 minus 0.75 to give 47.25.

Helpful 111 is 1/8th of what number?

To find one eigth of a number divide by 8, but since the answer is given multiply by 8 instead.

11 multiplied by 8 is 88.

Helpful 1What is 2/8 of 32?

Work out one eighth by dividing by 8 to give 4. Now multiply 4 by the 2 to give 8.

Alternatively, cancel 2/8 down to 1/4 and work out 1/4 of 32 to give 8 by dividing by 4.

Helpful 1What is 7/11 of 14?

Follow the rule divide by the bottom and times by the top.

14 divided by 11 is 1.27..., and 1.27... multiplied by 7 gives 8.91 (rounded to 2dp)

Helpful 1How do you find 3/7 of 133?

First, divide 133 by the denominator of the fraction which is 7, to give 19, and then multiply 19 by the numerator (3), to get 57.

Helpful 1What is 3/4 of 24?

24 divided by 4 is 6, and 6 multiplied by 3 is 18.

Helpful 1- Helpful 1
18 is 77%of what number?

You need to figure out 100%. So work out 1% by dividing 18 by 77, and multiply the answer by 100 to give 23.38 to 2 decimal places.

Helpful 1What is 3/5 + 4/5?

Just add the numerators and keep the denominators the same to give 7/5, which can be converted to 1 2/5.

Helpful 1What is 5/6 of 66?

Follow the rule divide by the bottom and times by the top.

66 divided by 6 is 11, and 11 multiplied by 5 is 55.

Helpful 1What is 5/7 times 4?

4 divided by 7 is 0.57... and 0.57 multiplied by 5 gives 2.86 rounded to 2 decimal places.

Helpful 1

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