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Multiplying Fractions and Mixed Numbers
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Multiplying Fractions and Mixed Numbers
Multiply each pair of fractions. Simplify your answers. For mixed numbers, convert to improper fractions first and show your work.
Multiply Fractions
Use fraction multiplication to find each product.
1.Find and simplify: 3/5 × 2/7.
2.Draw an area model to show 2/3 × 1/4. Then write the product in simplest form.
3.Multiply and simplify: 4/9 × 3/8.
4.Which expression has a product of 3/28?
- 1/4 × 3/7
- 2/3 × 1/7
- 3/5 × 1/7
- 3/8 × 1/4
Multiply Mixed Numbers
Change each mixed number to an improper fraction, then multiply and simplify.
5.Convert and multiply: 1 2/5 × 2 1/3.
6.Find the product and write it as a mixed number: 2 1/4 × 1 1/3.
7.A ferry café uses 2/3 cup of cocoa mix for one pitcher. How many cups are needed to make 1 1/2 pitchers?
Fraction Multiplication in Context
Read each situation carefully. Show the multiplication you use.
8.During a ferry trip, Hannah walks 1 1/2 miles each day for 2 2/3 days. How many miles does she walk altogether?
9.A ferry has 3/4 of its seats in one section. Of those seats, 2/5 are by windows. What fraction of all the seats in the ferry are by windows in that section?
10.Explain why multiplying 2/5 by 3/4 gives 6/20 before simplifying. You may use words or draw a model.
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