UK Secondary (7-11)
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Recurring Decimals as/from Fractions

Interactive practice questions

Observe the pattern in the table and answer the questions that follow.

Fraction $\frac{1}{9}$19 $\frac{2}{9}$29 $\frac{3}{9}$39 $\frac{4}{9}$49 $\frac{5}{9}$59
Decimal $0.11...$0.11... $0.22...$0.22... $0.33...$0.33... $a$a $b$b
a

By continuing the pattern, what number should go in place of $a$a?

$0.4$0.4

A

$0.44...$0.44...

B

$0.44$0.44

C

$0.4$0.4

A

$0.44...$0.44...

B

$0.44$0.44

C
b

By continuing the pattern, what number should go in place of $b$b?

$0.55$0.55

A

$0.5$0.5

B

$0.55...$0.55...

C

$0.55$0.55

A

$0.5$0.5

B

$0.55...$0.55...

C
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Observe the pattern in the table and answer the questions that follow.

Convert $\frac{1}{3}$13 to a recurring decimal.

Convert $\frac{2}{3}$23 to a recurring decimal.

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