Dividing Fractions Quiz
Questions: 16 · 10 minutes
1. A student claims that 5/8 is the quotient of 3/4 ÷ 6/5. Which multiplication check confirms the claim?
3/4 × 6/5 = 9/10
3/4 × 5/8 = 15/32
5/8 × 6/5 = 3/4
5/8 × 3/4 = 15/32
2. The quotient a ÷ b equals 1, where a and b are positive fractions. What must be true?
a and b are equal
a is the reciprocal of b
a is twice b
The numerators of a and b add to their denominators
3. What is 2 1/2 ÷ 5/6?
25/12
2 1/12
3
1/3
4. Which statement correctly compares 3/5 ÷ 1/2 with 3/5?
The quotient is greater than 3/5 because dividing by a positive number less than 1 increases the value
The quotient equals 3/5 because the numerator of 1/2 is 1
The quotient is less than 3/5 because division always makes a number smaller
The quotient equals 1/10 because the denominators should be multiplied
5. Which method correctly describes how to divide one nonzero fraction by another?
Multiply both numerators and multiply both denominators
Subtract the second numerator and denominator from the first
Multiply the reciprocal of the first fraction by the second
Multiply the first fraction by the reciprocal of the second
6. If x ÷ 3/4 = 2/3, what is x?
1/2
8/9
5/12
3/2
7. A ribbon is 1 1/2 meters long. It is divided into equal pieces that are each 3/10 meter long. How many pieces are made?
3 pieces
5 pieces
4 1/2 pieces
4 pieces
8. What is the value of 3/5 ÷ 0?
3/5
0
It is undefined
5/3
9. A baker has 2 1/4 cups of an ingredient. Each batch requires 3/8 cup. How many complete batches can the baker make?
3 batches
6 batches
4 batches
8 batches
10. What is 2/3 ÷ 4/5 in simplest form?
6/5
8/15
10/7
5/6
11. What is 4/5 ÷ 2?
8/5
5/8
2/5
4/3
12. What is 3/4 ÷ 1/8?
3/32
3/2
8/3
6
13. A student calculates 4/7 ÷ 2/3 as 8/21 by multiplying straight across. Which correction is appropriate?
Use 4/7 × 3/2 to obtain 6/7
Keep 8/21 because division and multiplication use the same fraction rule
Use 7/4 × 2/3 to obtain 7/6
Add 4/7 and 2/3 to obtain 26/21
14. Five meters of material are cut into pieces that are each 2/3 meter long. How many piece-lengths does the material contain?
3 1/3
7 1/2
5 2/3
10/3
15. Without calculating every quotient fully, which expression has a value greater than 1?
5/8 ÷ 3/4
2/3 ÷ 5/6
3/5 ÷ 4/5
7/10 ÷ 1/2
16. A container holds 3/4 liter of juice. How many full 1/8-liter servings can be poured from it?
4 servings
6 servings
8 servings
3/32 of a serving