Question

1.666666...... is a rational number and can be expressed in simplest $\frac{p}{q}$ form. Then p + q is

• A. 8

Answer 1

The correct option is A 8
Let 'x' = 1.6666...then 10 'x' = 16.666666.....
10x = 15 + 1.6666...,
10x = 15 + x
9x = 15
Hence x = $\frac{5}{3}$
So, p + q = 8