GCSE Maths (AQA)

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Converting to a Recurring Decimal

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Number Fractions, Decimals and Percentages

Converting to a Recurring Decimal

4:47 Recurrign Decimals
Spec N10
Previous Converting to a Decimal Next Converting from a Recurring Decimal
  • Fractions can be converted to decimals using division
  • A fraction is equal to the numerator divided by the denominator
  • To convert a fraction to a decimal, divide the numerator by the denominator
  • For fractions that do not divide evenly, the division will produce a repeating pattern
  • To convert a fraction to a decimal, set up the division in the short division format
  • Write out how many times the denominator goes into each digit, noting the remainders
  • The repeating pattern in the division will continue forever
  • Write the answer as a decimal using dot notation, with a dot above the repeating digit or group of digits

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