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Dividing Fractions and Wholes
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Dividing Fractions and Wholes
Solve each problem. Show your thinking when a question asks you to explain or draw.
Whole numbers divided by unit fractions
Think about how many fractional-size groups fit into a whole number.
1.A batch of 7 identical pies is cut into pieces that are each 1/4 of a pie. How many pieces are there altogether?
- 11
- 21
- 28
- 35
2.Find 5 ÷ 1/2.
3.Which multiplication expression can be used to find 9 ÷ 1/3?
- 9 × 3
- 9 × 1/3
- 9 ÷ 3
- 3 ÷ 9
4.Explain why 4 ÷ 1/6 equals 24. Use the idea of how many sixths fit into 4 wholes.
Unit fractions divided by whole numbers
Sharing a fraction into equal groups makes each share smaller.
5.A 1/3-yard ribbon is cut into 5 equal pieces. What length is each piece?
- 1/8 yard
- 1/15 yard
- 5/3 yards
- 1/3 yard
6.Calculate 1/5 ÷ 4.
7.Draw a model showing 1/3 ÷ 2. Divide the shaded third into 2 equal parts, then show the size of one share.
8.Complete the equation: 1/6 ÷ 3 = .
Fraction division in everyday situations
Write an equation to represent each situation, then solve.
9.A 6-mile walking trail has a marker at every 1/2 mile, including the starting point at mile 0. How many markers are along the trail?
10.A container holds 3/4 gallon of lemonade. It is poured equally into 6 pitchers. How much lemonade goes into each pitcher?
11.A 2/3-pound bag of birdseed is shared equally among 4 feeders. How many pounds of seed go into each feeder? Write an equation and solve.
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