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Fractions, Decimals and Percentages

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Fractions, Decimals and Percentages

Convert between fractions, decimals and percentages. Show your working for the word problems. Simplify fractions where possible.

Convert between forms

Write each value in the two other forms.

1.Convert 2/5 to a decimal and a percentage.
2.Convert 7/20 to a decimal and a percentage.
3.Convert 0.65 to a fraction in simplest form and a percentage.
4.Convert 85% to a fraction in simplest form and a decimal.
5.Write 3/8 as a decimal and a percentage.

Fractions, decimals and percentages in context

Use equivalent forms to solve each problem.

6.A backpack costs $120. It is discounted by 15%. How much is taken off the price, and what is the sale price?
7.There are 30 children in a group. Two-fifths of them choose swimming. How many children choose swimming?
8.A tray holds 16 equal-sized muffins. Hamish takes 0.375 of the muffins. How many muffins does she take?
9.At a sports carnival, 20% of 350 students cycle to the event, and 0.4 of the students arrive by bus. The rest arrive by car. How many students use each way of travelling?

Compare and order

Use a common form to compare the values.

10.Which is greater: 3/4 or 72%? Show how you know.
00.10.20.30.40.50.60.70.80.91
11.Put these values in order from least to greatest: 0.42, 2/5, 45%.
0.30.350.40.450.5

3 printable pages

  • Fractions, Decimals and Percentages, page 1 of 3: Convert between forms

    Page 1

  • Fractions, Decimals and Percentages, page 2 of 3: Fractions, decimals and percentages in context

    Page 2

  • Fractions, Decimals and Percentages, page 3 of 3: Compare and order

    Page 3

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