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Ordering Fractions Number Line

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Ordering Fractions Number Line

Xavier, Sienna and Talia are travelling along a train route. Each fraction tells how much of the journey has been completed. Use the number lines and compare fractions carefully. Write each fraction in its correct position.

1.Place 1/4, 2/3, 5/6, 5/4 and 3/2 on the number line. Write each fraction above the correct point.

2.At one stop, Xavier has travelled 3/4 of the route. At the next stop, Sienna has travelled 5/8. Who has travelled farther? Show a comparison that proves your answer.

3.Order these journey fractions from smallest to largest: 7/10, 1/2, 9/8, 4/5. Write them with < signs between them.

4.Which fraction is closest to 1: 7/8, 5/6 or 9/10? Explain using the distance from 1.

5.Talia says she has travelled 11/8 of the route. Is she before or beyond the halfway point? Place 11/8 on the number line and explain.

6.Select every fraction greater than 1: 6/7, 8/8, 9/8, 7/6.

6/7 only
8/8 and 9/8
9/8 and 7/6
All four fractions

7.A fraction with a numerator larger than its denominator is greater than 1. Decide whether this statement is true or false, then give an example from the train journey fractions.

TrueFalse

8.Complete the statement with <, > or =: 5/6 4/5. Show one way to compare them.

9.A fraction lies between 1/2 and 3/4 and has denominator 8. What could it be? Give one answer and show how you know it fits.

10.Write one fraction between 1 and 2 that could show a train travelling more than one whole route unit. Explain where it would sit between 1 and 2 on the number line.