Unit 5: Understanding Fractions

Q1. Find an equivalent fraction for 1/4 with a denominator of 12.

3/12 4/12 2/12 1/12

Solution: Multiply top and bottom by 3: 1u00d73=3, 4u00d73=12.

Q2. Reduce 9/12 to lowest terms.

2/3 3/4 4/5 1/2

Solution: Divide top and bottom by 3: 9u00f73=3, 12u00f73=4.

Q3. Find an equivalent fraction for 3/5 with a denominator of 15

6/15 3/15 9/15 12/15

Solution: Multiply top and bottom by 3: 3u00d73=9, 5u00d73=15.

Q4. Reduce 14/21 to lowest terms.

3/4 1/2 4/5 2/3

Solution: Divide top and bottom by 7: 14u00f77=2, 21u00f77=3.

Q5. Which fraction is equivalent to 1/3?

3/9 2/9 4/9 5/9

Solution: 3/9 reduces to 1/3 by dividing top and bottom by 3.

Q6. Reduce 16/20 to lowest terms.

3/5 4/5 4/4 2/5

Solution: Divide top and bottom by 4: 16u00f74=4, 20u00f74=5.

Q7. Find an equivalent fraction for 5/6 with a denominator of 18.

10/18 12/18 15/18 9/18

Solution: Multiply top and bottom by 3: 5u00d73=15, 6u00d73=18.

Q8. A cake is cut into 12 slices; 8 are eaten. What fraction is left, reduced?

1/4 2/3 3/4 1/3

Solution: 4/12 slices remain, which reduces to 1/3.

Q9. Reduce 10/16 to lowest terms.

5/8 4/7 3/8 5/9

Solution: Divide top and bottom by 2: 10u00f72=5, 16u00f72=8.

Q10. Is 4/6 equivalent to 2/3?

No yes Sometimes Can't tell

Solution: 4/6 reduces to 2/3 by dividing top and bottom by 2.

Q11. Reduce 21/28 to lowest terms.

2/3 5/6 3/4 4/5

Solution: Divide top and bottom by 7: 21u00f77=3, 28u00f77=4.

Q12. Which of these is NOT equivalent to 2/5?

4/10 6/15 8/20 3/8

Solution: 4/10, 6/15, and 8/20 all reduce to 2/5. 3/8 does not.

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