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Fractions to Decimals Exploration

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Fractions to Decimals Exploration

Convert each fraction to a decimal. Show your working where asked. Use a calculator only for the final challenge if needed.

Convert Fractions to Decimals

1.Write each fraction as a decimal: a) 3/4 b) 2/5 c) 9/10 d) 7/8 e) 1/20.

2.Match each fraction with its decimal equivalent.

3/10
5/8
1/4
1/8

0.25
0.625
0.3
0.125

3.Which fraction is equal to 0.45?

45/100
4/5
5/9
9/10

Look for a Pattern

Fraction: 1/10 Decimal: 0.1

Fraction: 2/10 Decimal: 0.2

Fraction: 3/10 Decimal: 0.3

Fraction: 4/10 Decimal: 0.4

Fraction: 5/10 Decimal: 0.5

4.Describe the pattern in the decimal numbers for tenths. What changes from one number to the next?

5.Use the tenths pattern to write 7/10 and 10/10 as decimals without dividing.

6.Complete the fifths sequence by writing each fraction as a decimal: 1/5, 2/5, 3/5, 4/5, 5/5.

7.Compare the decimals for fifths with the decimals for tenths. What relationship do you notice?

Fractions in Everyday Situations

8.Hemi cycles 0.7 km. Mele cycles 5/8 of a kilometre. Convert Mele’s distance to a decimal, then decide who cycled farther.

9.A $4.80 snack costs $3.60 to make. The ingredients cost 3/4 of the selling price. Check this by converting 3/4 to a decimal and multiplying by $4.80.

10.A smoothie recipe needs 7/20 of a litre of yoghurt. Write 7/20 as a decimal and briefly explain how you found it.

11.A student claims that 1/6 equals 0.16 because the digits 1 and 6 appear in the fraction. Is this correct? Write 1 ÷ 6 as a decimal and explain what happens.