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Fractions Decimals Percentages Conversions

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Fractions Decimals Percentages Conversions

At an outback station, Charlie and Evie-Mae are checking water supplies and packing equipment. Convert between fractions, decimals and percentages to help them make accurate decisions. Show your working for the word problems.

Quick conversion clues

A fraction can be converted to a decimal by dividing the numerator by the denominator. To change a decimal to a percentage, multiply by 100. To change a percentage to a decimal, divide by 100. For example, 3/4 = 0.75 = 75%.

1.The station’s water tank is 1/2 full. Write this amount as a decimal and as a percentage.

2.Evie-Mae checks a 3/5-full canteen. Convert 3/5 to a decimal and a percentage.

3.A delivery crate is 0.28 full of spare parts. What percentage of the crate is full?

4.Charlie uses 45% of a roll of fencing wire. Write 45% as a decimal and as a simplified fraction.

5.Which set shows three equivalent amounts?

1/4, 0.4, 40%
3/5, 0.6, 60%
7/10, 0.07, 7%
1/5, 0.25, 25%

6.A solar battery is charged to 0.375 of its capacity. Convert 0.375 to a percentage and a simplified fraction.

7.The station store has 40 water bottles. If 3/4 of them are chilled, how many chilled bottles are there? Give the fraction as a percentage too.

8.A map-reading team has travelled 18 km of a 30 km route. Express the distance travelled as a simplified fraction of the route, a decimal, and a percentage.

9.A feed sack is 0.8 full at the start of the day. The animals use 25% of the sack’s total capacity. What fraction of the sack remains, and what percentage is that?

10.A rain gauge records 0.125 of its 80 mm scale. How many millimetres is that? Then write 0.125 as a simplified fraction and a percentage.

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Year 6

Fractions Decimals Percentages Conversions

Fractions Decimals Percentages Conversions

Quick conversion clues

2 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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