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.
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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.
Keywords
Recurring decimals - A recurring decimal is one that has an infinite number of digits after the decimal point.
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