Improper Fractions and Mixed Numbers

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Date:

Part 1: Recognise and Represent

WALT: We are learning to recognise and represent improper fractions and mixed numbers.

Success criteria: I can identify the numerator and denominator, model more than one whole, and place a fraction on a number line.

1. In the fraction 7/4, identify the numerator and denominator. What does each number tell you?

2. Draw a visual model for 5/2. Show the whole numbers clearly and label the mixed number.

3. Draw a visual model for 7/3. Explain how many complete wholes you can make.

4. On one number line from 0 to 3, place and label 5/2, 7/3 and 11/4. Partition each whole into equal parts.

5. Convert each improper fraction to a mixed number. Show your working.

a) 7/3 = ________ b) 11/4 = ________

6. Complete each comparison using >, < or =. Explain one answer.

a) 7/3 ____ 2 b) 9/4 ____ 2 1/4 c) 13/4 ____ 3 1/4

7. Convert each mixed number to an improper fraction. Show your working.

a) 2 3/5 = ________ b) 1 3/4 = ________

Support: Use fraction strips or draw equal parts. Remember: the denominator stays the same when converting.

Optional challenge: Convert 17/6 to a mixed number and place it on a number line from 0 to 3.

8. Convert 14/5 to a mixed number. Then represent it on a number line from 0 to 3.

14/5 = ____________________

9. Which is greater: 9/4 or 2? Give a reason using a conversion, model or number line.

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