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Fractions Exploration Worksheet

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Fractions Exploration Worksheet

Show your working for calculations. Simplify fractions where possible.

Understanding Fractions

1.A fraction bar is divided into 8 equal parts, with 3 parts shaded. Which fraction of the bar is shaded?
  • 3/8
  • 8/3
  • 3/5
  • 5/8
2.Select every fraction that has the same value as 1/2.
  • 3/6
  • 4/10
  • 6/12
  • 7/14
3.Arrange these fractions from least to greatest: 1/8, 3/8, 1/2, 1/4.
00.1250.250.3750.50.6250.750.8751
4.Write 11/4 as a mixed number.

Adding and Subtracting Fractions

5.Calculate 1/3 + 1/6. Give your answer in simplest form.
6.A jug contains 2/5 litre of orange juice. Levi pours in another 1/10 litre. How much juice is in the jug now?
7.Work out 5/6 − 1/4. Simplify your answer.

Problem Solving and Fractions on a Number Line

8.A baking recipe needs 2 1/4 cups of oats. You have 1 2/3 cups. How many more cups of oats do you need?
9.Draw a number line from 0 to 2. Mark and label 1/2, 3/4, 1 1/4, and 1 3/4.
00.250.50.7511.251.51.752
10.Explain why fractions need a common denominator before you can add them. Include an example to support your explanation.

2 printable pages

  • Fraction bar model, equivalent fractions, ordering fractions, and converting an improper fraction to a mixed number.

    Page 1

  • Fraction addition and subtraction calculations, a recipe problem, and a number-line task.

    Page 2

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