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Exploring Fractions
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Exploring Fractions
Simplify each answer where possible. Show your working for calculation and word problems.
Equivalent Fractions
1.Select every fraction equivalent to 3/5.
- 6/10
- 9/15
- 12/25
- 15/25
- 7/10
2.Complete both equivalent fractions: 5/8 = __/16 = __/40.
3.A rectangle is divided into 6 equal parts, with 3 parts shaded. Write the shaded amount as a fraction and give an equivalent fraction with denominator 2.
Adding and Subtracting Fractions
4.Calculate 5/12 + 1/8. Show how you find a common denominator.
5.Calculate 7/10 − 1/4. Give your answer in simplest form.
6.Which working correctly calculates 2/7 + 1/3?
- 3/10
- 6/21 + 7/21 = 13/21
- 2/10
- 2/21 + 1/21 = 3/21
7.Complete the steps to calculate 5/6 − 1/4. Use 12 as a common denominator, then simplify your result.
Fractions in Context
8.A hiking track is 5/6 km long. Charlotte walks 3/10 km in the morning and the rest in the afternoon. How far does she walk in the afternoon?
9.A drink recipe uses 2/3 L of apple juice and 3/8 L of berry juice. How much juice does the recipe use altogether?
10.A board is 7/8 m long. A piece measuring 5/12 m is cut from it. What length of board remains?
11.A science project needs 3/4 kg of sand. There is 2/5 kg available. How much more sand is needed?
Reasoning and Challenge
12.Select every statement that is correct.
- 1/4 + 1/6 = 5/12
- 5/6 − 1/3 = 1/2
- 3/7 + 2/7 = 5/14
- 7/10 − 1/5 = 1/2
- 2/9 + 4/9 = 2/3
13.Match each sum to its simplified answer.
- 3/10 + 1/5
- 1/4 + 1/3
- 5/8 + 1/8
- 2/3 + 1/4
- 11/12
- 7/12
- 3/4
- 1/2
14.Explain a reliable method for adding two fractions with different denominators. Include why the denominators must be made alike.
3 printable pages
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