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Fractions & Decimals Fun!

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Fractions & Decimals Fun!

The surf lifesaving club is preparing for a busy beach day. Solve each challenge using fractions, decimals and clear working. Simplify fractions where possible.

Warm-up: make the connections

1.Amira records the fractions of first-aid supplies used as 0.2, 3/4, 0.45 and 1/2. Place the four values in order from least to greatest on the number line.

2.Match each fraction used in the club's equipment inventory to its decimal.

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

0.7
0.75
0.4
0.5

3.The shaded part shows how much of a water container is full. Write the shaded amount as a fraction and as a decimal.

Club operations

4.Dylan checks that 7/8 of the rescue boards are ready. Which decimal is equal to 7/8?

0.78
0.875
0.87
0.725

5.The club has 2/3 of a tray of fruit left. Volunteers serve 3/4 of what remains. What fraction of a full tray do they serve? Give your answer in simplest form.

6.A club member walks 1.35 km along the beach in the morning and 0.8 km in the afternoon. How far do they walk altogether? Write the total as a decimal and as a fraction in simplest form.

7.Talia says that 0.625 is equal to 5/8. Is her statement true or false? Show a quick check by converting the fraction to a decimal.

8.Complete the club's stock note: 3/5 = __ / 100 = 0.__. Fill both blanks.

9.A water cooler contains 4.5 L. The team pours out 2/3 of the water. How many litres remain? Show how you convert the fraction and calculate.

10.Two suppliers offer sunscreen for the club. Supplier A gives 3/4 of a litre for $12. Supplier B gives 0.8 L for $13. Which offer costs less per litre? Show the unit price for each offer and explain your choice.