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Fraction Division Focus
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Fraction Division Focus
Divide each fraction by the whole number. Simplify your answers and show your working where asked.
Visual Models and Calculations
1.Divide three-quarters by 2. Draw a model to show how the fraction is shared, then write the answer in simplest form.
2.Work out 4/7 ÷ 3. Give your answer in simplest form.
3.Work out 5/9 ÷ 4. Give your answer in simplest form.
4.Work out 3/8 ÷ 6. Give your answer in simplest form.
5.Work out 7/12 ÷ 2. Give your answer in simplest form.
6.Which expression is equivalent to 5/6 ÷ 4?
- 5/6 × 4
- 5/6 × 1/4
- 4 × 6/5
- 5/6 + 1/4
Problems with Fractions
7.A smoothie uses 5/6 of a litre of yoghurt. Maia makes one-third of the recipe. How many litres of yoghurt does she need? Write an equation and simplify the result.
8.A jug contains 7/8 of a litre of juice. It is poured equally into 5 glasses. How much juice is in each glass?
Explain and Check
9.Describe why dividing a positive fraction by a whole number greater than 1 gives a smaller amount. Explain how the fraction changes when divided.
10.Complete the rule: To divide a fraction by a whole number, multiply its denominator by the whole number and keep the _____ unchanged.
11.Select every term that can be useful when working with fraction division.
- Numerator
- Denominator
- Simplify
- Equivalent fractions
- Reciprocal
- Perimeter
12.Without calculating 3/4 ÷ 6 exactly, explain why the answer must be less than 1/4.
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