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How do you find the fraction of an amount?

Published in Fraction Calculation 2 mins read

To find a fraction of an amount, you must perform two key steps: division and multiplication, as highlighted in the reference.

Steps to Find a Fraction of an Amount

Here's a detailed breakdown of how to calculate the fractional part of a whole:

  1. Divide by the Denominator:

    First, take the total amount and divide it by the denominator of the fraction. The denominator represents the total number of equal parts that the whole is divided into.

    • For instance, if you're finding 1/3 of something, you would divide by 3, as the denominator is 3.
  2. Multiply by the Numerator:

    Next, take the result from the division and multiply it by the numerator of the fraction. The numerator indicates how many of these equal parts you're considering.

    • Following the 1/3 example, you'd then multiply the result from step one by 1, because the numerator is 1.

Example Calculation

Let's say you want to find 2/5 of 100:

Step Action Calculation
1 Divide by the denominator 100 รท 5 = 20
2 Multiply by the numerator 20 x 2 = 40

Therefore, 2/5 of 100 is 40.

Understanding Numerator and Denominator

  • Numerator: The top number in a fraction, indicating the number of parts you're considering.
  • Denominator: The bottom number in a fraction, indicating the total number of equal parts the whole is divided into.

By using this systematic approach, you can easily determine the fractional part of any amount.

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