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
- Represent the Integer as a Fraction: Think of the integer as a fraction with a denominator of 1. For example, 10 becomes 10/1.
- 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
- 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.