Question

explain 0.36666666......... as fraction in simplest form​

Answer 1

Step-by-step explanation:

$let \: \: \: x = 0.36666666.......$

$10x = 3.666666..........$

Let 10x = y

$y = 3.6666666666........ \: \: \: \: \: 1$

$10y = 36.6666666.......... 2$

Subtracting 2 from 1 , we get ,

$9y = 33$

$y = \frac{33}{9}$

$10x = y = \frac{33}{9}$

$x = \frac{33}{90} = 0.36666666666..........$

Therefore, 0.366666...... can be written as 33/90

I hope it helps you. If you have any doubts, then don't hesitate to ask.