Question

Write 5.63 repeating as a mixed number in simplest form.

Answer 1

If x = 5.636363…, then 100x = 563.636363…. So we have

100x - x = 563.636363… - 5.636363…

99x = 558

x = 558/99 = 62/11

and then

62/11 = (5×11 + 7)/11 = 5 + 7/11