Question

Write the rational number 0.3 in the form ab , where a and b are integers.

Answer 1

`(a)/(b) = (3)/(10)`

Explanation:

Given

`Number = 0.3`

Required

Represent as
`(a)/(b)`

Let
`(a)/(b) = 0.3`

This can be further written as

`(a)/(b) = (0.3)/(1)`

Multiply the numerator and denominator by 10

`(a)/(b) = (0.3 * 10)/(1 * 10)`

`(a)/(b) = (3)/(10)`

Since 3 and 10 are both integers, then

`(a)/(b) = (3)/(10)`