Express the recurring decimal 0.363636… (0.36) as a fraction in simplest form.
Note
Let x = 0.363636..., then 100x = 36.3636...; subtracting gives 99x = 36, so x = 36/99 which simplifies to 4/11.
Express the recurring decimal 0.363636… (0.36) as a fraction in simplest form.
Let x = 0.363636..., then 100x = 36.3636...; subtracting gives 99x = 36, so x = 36/99 which simplifies to 4/11.