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Fraction Decimal Percentage Conversions
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Fraction Decimal Percentage Conversions
Convert between fractions, decimals and percentages. Show your working for questions that ask you to explain.
Core conversions
1.Convert 3/5 to a decimal and a percentage.
2.Convert 7/8 to a decimal and a percentage.
3.Write 13/4 as a mixed number, then convert it to a decimal and a percentage.
4.Convert 2 3/5 to an improper fraction, a decimal and a percentage.
5.Put these values in order from least to greatest: 0.72, 3/4, 68%, 0.7.
Conversions in context
6.A water tank is 5/12 full. What percentage of the tank is full? Show how you converted the fraction.
7.A hiking trail is 1 3/4 km long. Write its length as a decimal. What percentage of a 2 km trail is this? Explain your calculation.
8.At a wildlife centre, 35% of 40 birds are kākā and 3/10 are tūī. What fraction of the birds are neither kākā nor tūī? Assume no bird is in both groups. Show your working.
Challenge
9.Convert 7/9 to a decimal rounded to 3 decimal places and to a percentage rounded to 1 decimal place. Is it closer to 77% or 80%? Justify your choice.
10.A netball team wins 9 of its 15 matches. Express the win rate as a simplified fraction, a decimal and a percentage.
3 printable pages
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