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Decimals and Fractions Exploration

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Decimals and Fractions Exploration

Aotearoa’s Fraction Food Truck is preparing kai for a community picnic. Use fractions and decimals to help plan the servings. Show your thinking where you can.

Share the Picnic Kai

1.The tray has 10 equal portions and 7 are ready to serve. Write the ready portions as a fraction and as a decimal.

2.A fruit platter is split into 10 equal sections. Four sections contain apple. What fraction and decimal of the platter contain apple?

3.Mere says 0.3 is greater than 0.25 because 3 is greater than 25. Is Mere correct? Explain using place value or equivalent fractions.

Measure and Compare

4.Mark 0.2, 0.5 and 0.8 on the number line. Which marked value is closest to 1?

5.Put these amounts in order from least to greatest: 3/10, 0.45, 1/2, 0.4.

6.A jug holds 1 litre. Hana pours out 0.35 L of juice. How much juice remains? Give your answer as a decimal and as a fraction of a litre.

Food Truck Challenge

7.Each mini pie is cut into 8 equal pieces. The group eats 3 pieces. What fraction of a pie is eaten, and what fraction is left?

8.A recipe needs 0.6 kg of flour. The truck has 3/4 kg. Is there enough flour? How much more than the recipe amount is available?

9.Match each fraction to its decimal: 1/4, 3/5, 7/10, 1/2.

1/4
3/5
7/10
1/2

0.6
0.5
0.7
0.25

10.The truck sells a smoothie for $4.50. Write this price as a fraction of a dollar in simplest form, then explain how the decimal digits show dollars and cents.

11.Create your own picnic order using two different fractions or decimals between 0 and 1. Write each amount in both forms and describe how you know they are equal.