Fraction arithmetic
Add, subtract, multiply, and divide fractions.
In your head, jot if needed · no calculator why?
Opens at level 12.
Lesson and untimed practice
Read the full lesson and try each skill without a clock. About 3 minutes to read.
skills · practice stats
-
Fraction of a number not tried yet
worked example
What is 1/2 of 152?
Answer: 76
- 1/2 of 152 is 152 ÷ 2 = 76.
-
Add & subtract not tried yet
worked example
8/9 − 5/6 Answer as a fraction in lowest terms.
Answer: 1/18
- Use a common denominator of 18: 16/18 − 15/18 = 1/18.
-
Multiply not tried yet
worked example
3/4 × 4/5 Answer as a fraction in lowest terms.
Answer: 3/5
- Multiply the tops and the bottoms: 3 × 4 = 12 and 4 × 5 = 20, so 12/20.
- Divide top and bottom by 4: 12 ÷ 4 = 3 and 20 ÷ 4 = 5, so 3/5. Cancelling first is faster.
-
Divide not tried yet
worked example
1/6 ÷ 5/6 Answer as a fraction in lowest terms.
Answer: 1/5
- Dividing by 5/6 is multiplying by 6/5: 1/6 × 6/5 = 6/30, which simplifies to 1/5.
rest ladder
- 1 day
- 3 days
- 7 days
- 14 days
- 30 days
- 60 days
- mastered · every 90 days