To find a fraction of a number, you essentially perform two key operations: division and multiplication. Here's a step-by-step breakdown:
1. Divide by the Denominator:
Take the number you're trying to find the fraction of and divide it by the denominator of the fraction. The denominator is the bottom number in a fraction.
Example: Let's say you want to find 1/4 of 20. The denominator is 4, so you divide 20 by 4: 20 / 4 = 5
2. Multiply by the Numerator:
Take the result from the division in step 1 and multiply it by the numerator of the fraction. The numerator is the top number in a fraction.
Example (continued): From the previous step, we got 5. The numerator is 1, so you multiply 5 by 1: 5 * 1 = 5
Therefore, 1/4 of 20 is 5.
In Summary:
- Step 1: Divide the whole number by the denominator of the fraction.
- Step 2: Multiply the result by the numerator of the fraction.
Formula:
(Number ÷ Denominator) × Numerator = Fraction of the Number
Example with a different fraction:
Let's find 2/3 of 15.
- Step 1: 15 ÷ 3 = 5
- Step 2: 5 × 2 = 10
Therefore, 2/3 of 15 is 10.