Fractions and Recurring Decimals (AQA GCSE Maths): Flashcards

A decimal with a pattern of digits that repeats endlessly

A decimal that comes to an end

When the denominator (in simplest form) has only prime factors 2 and 5

$0.\overline{3}$ (recurring)

$0.25$ (terminating)

Let $r =$ decimal, multiply by $10^n$, subtract, solve for $r$

Multiply twice: once for non-repeating, once for recurring part

Make denominator all 9s; numerator shows recurring digits

Rule only works on fraction in simplest form

Use dot above repeating digit(s), e.g., $0.\overline{3}$