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Fractions, Decimals & Percentages

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Fractions, Decimals & Percentages

Compare values by writing them in a common form. Give fractions in simplest form.

Compare and order

1.Which is greatest: 0.4, 3/8 or 42%?

0.4
3/8
42%
They are all equal

2.Write 0.58, 3/5 and 54% in order from smallest to largest.

3.Tick every statement that is correct.

0.35 = 35%
2/5 = 45%
0.7 > 3/4
5/8 = 0.625

4.Which value is closest to 1/2: 0.46, 53%, 0.57 or 44%?

0.46
53%
0.57
44%

Convert between forms

5.Write 0.35 as a fraction in simplest form.

6.Write 0.8 as a fraction in simplest form.

7.Write 35% as a fraction in simplest form.

8.Write 65% as a fraction in simplest form.

9.Match each value to its equivalent form.

1/5
0.4
3/4
90%
0.125

20%
40%
0.9
1/8
0.75

10.A fraction bar is split into 10 equal parts, with 7 parts shaded. Write the shaded amount as a fraction, a decimal and a percentage.

11.A fraction bar is split into 8 equal parts, with 3 parts shaded. Write the shaded amount as a fraction, a decimal and a percentage.

Apply your understanding

12.At a fruit stall, Maia buys 0.35 kg of apples, Wiremu buys 2/5 kg of pears and Hana buys 38% of a kilogram of grapes. Who buys the greatest mass of fruit?

13.A walking track is 0.72 complete. What percentage of the track has been completed, and what fraction is left to walk? Give the fraction in simplest form.

14.Explain how you can decide which is larger, 5/8 or 0.6. State the larger value.