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How do you find a fraction of a whole number?

Published in Fractions 1 min read

To find a fraction of a whole number, you multiply the fraction by the whole number.

Here's a breakdown of how to do it:

  1. Understand the "of" means multiply: The word "of" in a problem like "What is 1/2 of 10?" indicates multiplication.

  2. Convert the whole number to a fraction (if needed): Any whole number can be written as a fraction by placing it over a denominator of 1. For example, 18 can be written as 18/1. This step is generally understood and not always explicitly written.

  3. Multiply the numerators: Multiply the top numbers (numerators) of the two fractions.

  4. Multiply the denominators: Multiply the bottom numbers (denominators) of the two fractions.

  5. Simplify (if possible): Reduce the resulting fraction to its simplest form.

Example:

Let's say you want to find 1/3 of 12.

  1. We have 1/3 of 12.

  2. Rewrite 12 as a fraction: 12/1.

  3. Multiply the numerators: 1 * 12 = 12.

  4. Multiply the denominators: 3 * 1 = 3.

  5. The result is 12/3.

  6. Simplify: 12/3 = 4.

Therefore, 1/3 of 12 is 4.

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