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Fraction Division Models
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Fraction Division Models
Use fraction models to figure out how many groups of one fraction fit into another. Show your thinking when asked.
Read the Models
Think of division as asking how many groups of the divisor fit inside the dividend.
1.A bar is split into 8 equal parts, and 4 parts are shaded. How many groups of 1/8 are in the shaded amount?
- 2
- 4
- 6
- 8
2.Which question does 5/6 ÷ 1/6 represent?
- How many sixths are in five-sixths?
- What is five-sixths plus one-sixth?
- What is the difference between five-sixths and one-sixth?
- What is one-sixth of five-sixths?
3.The model shows 3/4 of a whole. How many groups of 1/4 fit in the shaded amount?
4.Select every division expression that equals 4.
- 1 ÷ 1/4
- 1/2 ÷ 1/8
- 3/4 ÷ 1/4
- 2/3 ÷ 1/6
5.Match each division expression to its value.
- 1/2 ÷ 1/4
- 3/4 ÷ 1/8
- 2/3 ÷ 1/6
- 1 ÷ 1/5
- 4
- 2
- 5
- 6
Model and Solve
Use a drawing or an equation to explain how you know.
6.Draw a fraction bar model to solve 1/2 ÷ 1/8. Then write the quotient.
7.Fill in the blank: There are pieces of size 1/10 in 3/10.
8.Ravi has 5/6 of a yard of ribbon. Each craft uses 1/6 of a yard. How many crafts can Ravi make?
9.A pitcher contains 2/3 liter of lemonade. Each glass holds 1/6 liter. How many full glasses can be filled?
10.A 3/4-pound bag of birdseed is divided into portions of 1/8 pound. How many portions are there?
11.Explain what the quotient tells you in the expression 3/5 ÷ 1/5.
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