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Comparing and Ordering Fractions

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Comparing and Ordering Fractions

Compare fractions by using equivalent fractions, common denominators or benchmark values. Show your working where asked.

Compare and order

1.Which is greater: 5/6 or 7/9?

2.Arrange 2/5, 7/10 and 3/4 from least to greatest.

3.The bar shows a fraction of a whole. Which option is equivalent to the fraction shown?

2/5
3/5
5/8
5/12

4.Write <, > or = in each space to make the comparison true: a) 5/12 __ 3/8; b) 7/10 __ 14/20; c) 11/15 __ 3/4.

Reason and solve

5.At a picnic, Maia ate 4/9 of a watermelon and Ruben ate 5/12 of the same-sized watermelon. Who ate the larger fraction? Explain using a common denominator.

6.Put 5/8, 3/5, 7/12 and 4/9 in order from greatest to least.

7.Express 2/3, 5/8 and 7/12 with denominator 24, then arrange the original fractions from least to greatest.

8.A sauce recipe needs 5/6 cup of stock. Your measuring scoop holds 1/4 cup. How many full scoops can you add, and how much more stock is needed to reach 5/6 cup?

9.Three cyclists travel different distances: Hana rides 7/8 km, Ravi rides 11/15 km, and Charlotte rides 4/5 km. List the riders from the greatest distance to the least distance.

10.Draw a fraction bar divided into 10 equal parts and shade 7 parts. Then write a fraction with denominator 20 that is equivalent to the fraction you drew.