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Mixed Fractions Number Line

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Mixed Fractions Number Line

Read each question carefully. Use the number lines to locate or compare mixed fractions. Show your thinking where asked.

Understanding mixed fractions

1.Which description best explains a mixed fraction?

A whole number together with a proper fraction
A fraction with a numerator larger than its denominator
Two fractions written side by side
A whole number divided by a fraction

2.Select all the mixed fractions from this list.

2 2/5
5/6
7/4
3 1/8
5 3/4

Locate mixed fractions

3.The number line is divided into quarters between each whole number. Mark the point for 1 3/4.

4.On the number line from 0 to 4, mark and label 1 2/3, 2 1/3, and 3 5/6. Divide each interval between whole numbers into sixths.

5.Which fraction is closest to 4 on a number line?

3 5/6
4 1/5
3 1/2
4 2/3

Compare and order

6.Arrange these mixed fractions from smallest to largest: 2 1/3, 1 5/6, 3 1/6, 2 5/6.

7.Match each mixed fraction to the whole-number interval containing it.

1 3/5
2 7/8
3 1/4
4 2/3

Between 4 and 5
Between 1 and 2
Between 2 and 3
Between 3 and 4

Fractions in context

8.A cycling route is 6 kilometres long. Layla has ridden 3 1/2 kilometres. Show this distance on the number line.

9.A muffin recipe needs 2 3/4 cups of oats. You have a 1-cup measure and a 1/4-cup measure. Explain one way to measure the oats.

10.Continue the sequence by filling both gaps: 2 1/6, 2 1/3, 2 1/2, , , 3.

11.Draw a number line from 2 to 3, divide the interval into eighths, and label the point for 2 5/8. Show how you found the position.

Explain your thinking

12.Choose a mixed fraction between 5 and 6, then describe where it belongs on a number line divided into eighths. For example, give its distance in eighths from 5.