Prep · Fraction multiplication and unit-fraction division

1. 1.

   Malik ran 13 of a 6-mile trail. How many miles did Malik run?

   Answer. 2 miles

   13 × 6 = 2 miles.

2. 2.

   How many 12-cup servings are in 5 cups?

   Answer. 10

   5 ÷ 12 = 5 × 2 = 10.

3. 3.

   Nora ran 112 of a 2-mile trail. How many miles did Nora run?

   Answer. 3 miles

   112 × 2 = 3 miles.

4. 4.

   How many 12-cup servings are in 4 cups?

   Answer. 8

   4 ÷ 12 = 4 × 2 = 8.

5. 5.

   Jonah ran 14 of a 7-mile trail. How many miles did Jonah run? Then Nora needs 2 of that amount. What is the total they need?

   Answer. 312 miles

   14 × 7 = 134 miles. Then multiply by 2: 312 miles.

6. 6.

   Priya has 4 cups of trail mix and scoops 12 cup into each bag. How many bags can Priya fill?

   Answer. 8

   4 ÷ 12 = 4 × 2 = 8 bags.

7. 7.

   Nora ran 13 of a 8-mile trail. How many miles did Nora run? Then Malik needs 4 of that amount. What is the total they need?

   Answer. 1023 miles

   13 × 8 = 223 miles. Then multiply by 4: 1023 miles.

8. 8.

   Jonah has 7 cups of trail mix and scoops 12 cup into each bag. How many bags can Jonah fill?

   Answer. 14

   7 ÷ 12 = 7 × 2 = 14 bags.

9. 9.

   Priya ran 12 of a 5-mile trail. How many miles did Priya run? Then Theo needs 5 of that amount. What is the total they need?

   Answer. 1212 miles

   12 × 5 = 212 miles. Then multiply by 5: 1212 miles.

10. 10.

    Grace has 4 cups of trail mix and scoops 15 cup into each bag. How many bags can Grace fill?

    Answer. 20

    4 ÷ 15 = 4 × 5 = 20 bags.

11. 11.

    Think

    Mei tried this problem:
    Sam ran 34 of a 4-mile trail. How many miles did Sam run?
    Mei wrote 2 miles. That is not correct. What is the right answer?

    Answer. 3 miles

    Mei’s answer 2 miles is off. 34 × 4 = 3 miles.

12. 12.

    Think

    Jonah computed 9 × 18 = 118 instead of asking how many 18 cups fit in 9 cups. How many servings is that?

    Answer. 72

    How many groups of 18 in 9 is division: 9 ÷ 18 = 9 × 8 = 72.

Original extra practice. Keys are computed from the items, not guessed.