How to work out fractions of amounts

Want to find out how to work out fractions of amounts? We've provided a step-by-step guide of how to work out fractions of amounts to teach you everything you need to know.

How to work out fractions of amounts

Step 1: Divide by the fraction’s denominator

Given the fraction and the amount, divide the amount by the fraction’s denominator. So, if we want to determine 3/5 of 45, we divide 45 by 5.

Step 2: Multiply the quotient by the numerator

Multiply the quotient by the numerator of the given fraction. This means that 3/5 of 45 is equal to 27.

Examples of how to work out fractions of amounts

Q1) Work out the following fractions of amounts.

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To find the fractions of amounts, we first divide the amounts by their corresponding fractions’ denominators.

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Then multiply the quotient with the fractions’ numerators. Hence, we have the following values below.

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Q2) Nathaniel received $210 from his aunt for his birthday. He plans to spend 11/14 of it on new video games. How much is he planning to spend on games?

To find 11/14 of $210, we first divide the total amount by the denominator. 210÷14=15

Multiply the quotient by 11. Hence, total amount would be

15×11=165

This means that Nathaniel plans to spend $165 on video games.

Q3) Danny plans to invest 2/15 of his salary every month. If he earns $5460 every month, how much does he spend monthly?

To determine the amount that he plans to invest monthly, divide the amount of the salary by the fraction’s denominator.

5460÷15=364

Multiply 364 by the given numerator of the fraction.

364×2=728

Danny plans to invest $728 every month.