x x\,x is an integer such that 1≤x≤9 1 \leq x \leq 9\,1≤x≤9
Prove that 0.0˙x˙=x99\displaystyle 0.\dot{0}\dot{x} = \frac{x}{99}0.0˙x˙=99x
Hence, find the value of 0.0˙3˙+0.0˙6˙0.\dot{0}\dot{3} + 0.\dot{0}\dot{6}0.0˙3˙+0.0˙6˙, giving your answer in its simplest form.
203 exam-style questions on CCEA GCSE Maths Recurring Decimals to Fractions. Each one has a worked solution and a mark scheme showing where the marks go.