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How do you find the fraction of an integer?

Published in Fractions & Multiplication 1 min read

To find the fraction of an integer, you essentially multiply the fraction by the integer. Here's a breakdown:

Understanding the Concept

Finding a fraction of a whole number is the same as multiplying the fraction by that whole number. For example, finding 2/5 of 10 means calculating (2/5) * 10.

Steps to Calculate

  1. Represent the Integer as a Fraction: Think of the integer as a fraction with a denominator of 1. For example, 10 becomes 10/1.
  2. Multiply the Fractions: Multiply the numerators (top numbers) together and the denominators (bottom numbers) together.
    • (2/5) (10/1) = (2 10) / (5 * 1) = 20/5
  3. Simplify the Result: If possible, simplify the resulting fraction.
    • 20/5 can be simplified to 4 (since 20 divided by 5 is 4).

Example

Let's find 2/5 of 10:

  • Step 1: Rewrite 10 as 10/1.
  • Step 2: Multiply the fractions: (2/5) * (10/1) = 20/5. According to the reference, you multiply straight across: "two times ten is twenty. Five times one is five. So I get twenty fifths."
  • Step 3: Simplify: 20/5 = 4.

Therefore, 2/5 of 10 is 4.

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