Converting fractions to recurring decimals
I can divide the numerator of a fraction by its denominator and know that this results in an equivalent recurring decimal.
Converting fractions to recurring decimals
I can divide the numerator of a fraction by its denominator and know that this results in an equivalent recurring decimal.
Lesson details
Key learning points
- Dividing the numerator by the denominator may result in an equivalent recurring decimal.
- It can be shown that 1/9, 1/11 and 1/36 have equivalent recurring decimals.
- Using a calculator can help investigate fractions which are equivalent to terminating decimals.
- Using a calculator can help investigate fractions which convert to recurring decimals.
Common misconception
Converting a fraction to a recurring decimal and then rounding the decimal, gives an accurate answer
The use of fractions is more preferred for accuracy than decimals. e.g 1/3 + 1/3 + 1/3 is not 0.3 + 0.3 + 0.3
Keywords
Recurring decimals - A recurring decimal is one that has an infinite number of digits after the decimal point.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
$$\frac {73}{160}$$ -
$$0.45625$$
$$\frac {57}{125}$$ -
$$0.456$$
$$\frac {63}{140}$$ -
$$0.45$$
$$\frac {2281}{5000}$$ -
$$0.4562$$
$$\frac {34}{85}$$ -
$$0.4$$
Exit quiz
6 Questions
$$0. \dot 1 \dot 2$$ -
$$0.12121212...$$
$$0. 1 2 \dot 3$$ -
$$0.123333333...$$
$$0. \dot{1} 2 \dot {3}$$ -
$$0.123123123...$$
$$0. \dot 1$$ -
$$0.111111111...$$
$$0. 1\dot 2 \dot 3$$ -
$$0.123232323...$$