Finding Fractions of Quantities

Name: _______________________________
Date: _______________________________

Calculate the fractional part of each quantity. Show your working.

Section A: Basic Calculations

1. Find ½ of 48 = ________________
2. Find ¼ of 60 = ________________
3. Find ⅓ of 72 = ________________
4. Find ⅕ of 85 = ________________
5. Find ¾ of 120 = ________________
6. Find ⅖ of 95 = ________________

Section B: Word Problems

7. A school has 360 students. If ⅔ of them play sport, how many students play sport?
________________
8. Sarah saved $240. She spent ⅜ of her savings on a new bike. How much did the bike cost?
________________
9. A recipe calls for 450 grams of flour. If you want to make only ⅔ of the recipe, how many grams of flour do you need?
________________
10. There are 135 books in the school library's fiction section. If ⅗ of them are checked out, how many fiction books are currently checked out?
________________

Section C: Challenge Questions

11. A water tank holds 840 litres when full. After using some water, the tank is ⁵⁄₇ full. How many litres of water are in the tank now?
________________
12. James ran ⁴⁄₅ of a 15 kilometre race before taking a break. How many kilometres had he run?
________________
13. A farmer has 216 sheep. She sells ⁵⁄₁₂ of them at the market. How many sheep does she have left?
________________

Tip: To find a fraction of a quantity, divide by the denominator, then multiply by the numerator.