Question

Express 0.333....... in p/q form

Answer 1

Answer:

$\frac{1}{3}$

Step-by-step explanation:

Let 0.333....... be x

$x = 0.333...... (i)\\ = )10x = 3.333...... \\ = )10x = 3 + x \: \: \: \: \: \: (x = 0.333....) \\ = )10x - x = 3 \\ = )9x = 3 \\ = )x = \frac{3}{9} \\ = )x = \frac{1}{3}$

Hope it helped