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Fraction Multiplication Introduction
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Fraction Multiplication Introduction
Classify fractions, interpret multiplication, and solve each problem. Show your calculations where space is provided.
Fraction Types and Meaning
1.Classify each as a proper fraction, improper fraction, or mixed number: 5/8; 9/4; 1 2/5; 7/7.
2.What is the best way to describe multiplying a quantity by a fraction?
- Finding a fractional part of the quantity
- Adding the fraction to the quantity
- Always increasing the quantity
- Changing the quantity into a decimal
3.Which statements express one-third of two-fifths? Select all that apply.
- 1/3 × 2/5
- Taking one-third of two-fifths
- 1/3 + 2/5
- Finding a part of a part
Fraction Multiplication in Context
4.A smoothie recipe uses 2/3 cup of yoghurt. Charlotte makes 3/4 of the recipe. How many cups of yoghurt does she use? Give your answer in simplest form.
5.A rectangular garden is 5/6 planted with vegetables. Of that planted area, 2/5 is carrots. What fraction of the whole garden is planted with carrots?
6.In your own words, explain what the product of two positive proper fractions tells you.
Models and Reasoning
7.Use an area model to show 2/3 × 3/5. Divide a rectangle into equal parts, shade each fraction in a different direction, and indicate the overlap.
8.True or false: The product of any two positive proper fractions is smaller than each fraction. Briefly justify your choice.
TrueFalse
9.Complete the idea: Multiplying two fractions can be understood as…
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