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Comparing Fractions Visually

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Comparing Fractions Visually

Help plan the food for a busy Wellington food truck. Compare fractions of equal-sized wholes. Use the diagrams, equivalent fractions, or common denominators to explain your thinking.

Compare and explain

1.Two equal-sized trays of kūmara wedges are partly sold. The first tray is 3/8 sold and the second is 1/2 sold. Which tray has more sold? Compare the fractions.

2.A tray is 1/2 sold. Compare this fraction with 3/8. Which fraction is greater?

3.A jug of feijoa drink is 5/6 full. Another equal-sized jug is 7/9 full. Which jug is fuller? Show a comparison using equivalent fractions.

4.Choose the correct comparison sign: 4/5 7/10. Explain how you know.

5.A customer says, “3/7 must be greater than 3/5 because 7 is greater than 5.” Is the customer correct? Explain what happens when the same-sized whole is split into more equal parts.

Place, order and make fractions

6.Place 1/4, 1/2 and 3/4 on the number line from 0 to 1. Which fraction is exactly halfway between 0 and 1?

7.Put these order tickets in order from least to greatest fraction of a pizza: 2/3, 3/4, 5/8, 1/2.

8.The food truck has sold 6/8 of its cheese scones. Write two different fractions equivalent to 6/8, then state whether 6/8 is greater than or less than 3/4.

9.A pizza is cut into 10 equal slices. One customer eats 3/10 and another eats 2/5 of an identical pizza. Who eats more? Use tenths to compare.

10.A baker claims that 5/6 is less than 7/9. Decide whether the claim is true or false. Use a common denominator to justify your answer.

TrueFalse