# 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

**Question:** 12 is 3/4 of what number?

**Answer:** You need to divide by the top and multiply by the bottom.

12 divided by 3 is 4, and 4 times 4 is 16.

**Question:** What part of 5 3/5 is 7/10?

**Answer:** You will need to divide 7/10 by 5 3/5.

Convert 5 3/5 into an improper fraction which is 28/5

Now work out 7/10 divide by 28/5 which is the same as 7/10 times.

The answer is 1/8.

**Question:** What is 1/7 of 3.50?

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

**Question:** What is 1/8 of an hour?

**Answer:** 60 divided by 8 is 7.5, so 7.5 minutes.

**Question:** If 2/7 of an amount is 40, what is the whole amount?

**Answer:** 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.

**Question:** What is 1/9 of 96?

**Answer:** 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).

**Question:** What is 4/5 of 30?

**Answer:** 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.

**Question:** What is 7/10 - 2/3?

**Answer:** First make the denominators the same by putting 30 on the bottom of both fractions.

S0 7/10 = 21/30, and 2/3 = 20/30

Now 21/30 - 20/30 is 1/30.

**Question:** What is 3/5 of 60 and how do you calculate it?

**Answer:** 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.

**Question:** 1/6 of what number is 11?

**Answer:** 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.

**Question:** 7/8 of a number is 56, what is the number?

**Answer:** 56 divided by 7 is 8, and 8 times 8 is 64.

**Question:** What is 1\5 x 4\5?

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

**Question:** What is 2/8 of 32?

**Answer:** 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.

**Question:** What is 2/3 of 6?

**Answer:** Follow the rule divide by the bottom and times by the top.

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

**Question:** What is 1/7 of 77?

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

So 77 divided by 7 is 11.

**Question:** What is 2/5ths of 60?

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

**Question:** What is 3/7 of 28 ?

**Answer:** 28 divided by 7 is 4, and 4 times 3 is 12.

**Question:** What’s 5/6 of 18?

**Answer:** 18 divided by 6 is 3, and 3 times 5 is 15.

**Question:** What is 5/6 of 240?

**Answer:** Follow the rule divide by the bottom and times by the top.

240 divided by 6 is 40, and 40 times 5 is 200.

**Question:** What is3/8+11/12=?

**Answer:** This is the same as working out 9/24 + 22/24 which is 31/24.

**Question:** What is 5/8 of 40 ?

**Answer:** 40 divided by 8 is 5, and 5 multiplied by 5 is 25.

**Question:** What is 5/6 of 66?

**Answer:** 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.

**Question:** What is 35% of 420?

**Answer:** 1% of 4.20, and 4.20 times 35 is 147.

**Question:** What is 6/8 of 40?

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

**Question:** What is 1/8 of £499?

**Answer:** Just divide 499 by 8 to give 62.375.

**Question:** What is 1/5th of 5/10 ?

**Answer:** Its easier just to multiply the fractions together as of means times (1/5 times 5/10 is 5/50).

5/50 can be simplified to 1/10.

**Question:** What is 5/11 of 176?

**Answer:** 176 divided by 11 is 16, and 16 times 5 is 80.

**Question:** What is 4/7 more than 63?

**Answer:** 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.

**Question:** What is 4/7 of 14?

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

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

**Question:** What is 1/8 of 6?

**Answer:** To find 1/8 divide the number by 8.

6 divided by 8 gives 0.75.

**Question:** What is 5/7 of 100?

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

**Question:** How do you figure out what is 5/8 of 4/5?

**Answer:** 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.

**Question:** What is 1/8 of 14?

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

So 14 divided by 8 gives 1.75.

**Question:** What is 1/5 of 7?

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

Therefore, 7 divided by 5 gives 1.4

**Question:** 8% of 60 is 1/5 of what number?

**Answer:** 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.

**Question:** What is 3/6 of 248?

**Answer:** 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.

**Question:** What is 1/9 of 12?

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

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

**Question:** If 1/9 is 49 what is the number?

**Answer:** Just multiply 49 by 9 to give 441.

**Question:** What is 1/5 of 8?

**Answer:** To work out 1/5 divide the number by 5.

8 divided by 5 is 1.6.

**Question:** What is 9/13 of 182?

**Answer:** Divide 182 by 13 to give 14, then multiply 14 by 9 to give 126.

**Question:** What is 1/7 0f 15000?

**Answer:** 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.

**Question:** How do you calculate 1/7 x 4?

**Answer:** 4 can be written as a fraction as 4/1.

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

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

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

**Question:** What is 4/11 of 66?

**Answer:** Use the method divide by the bottom and times by the top.

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

**Question:** What is 4/5 of 12?

**Answer:** 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.

**Question:** Can you work out 3/12 of 48?

**Answer:** Follow the rule divide by the denominator and multiply by the numerator.

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

**Question:** 2/3 of a number is 24. What is 5/9 of the number?

**Answer:** 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.

**Question:** Is 3/14 less than 6/7?

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

**Question:** What is 3/7 of 84?

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

**Question:** 3/4 of what number is 96?

**Answer:** 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.

## Comments

**Offenderman** on April 22, 2018:

Rose? Anyone?

**bum face** on February 21, 2013:

Thanks this helped!!! Xxxxxx