Question

Convert 1.3333....... into P/Q form​

Answer 1

`(4)/(3)`

Explanation:

We require to create 2 equations with the repeating value placed after the decimal point.

let

x = 1.3333... → (1) ( multiply both sides by 10 )

10x = 13.3333... → (2)

Subtract (1) from (2), eliminating the repeating decimal

9x = 12 ( divide both sides by 9 )

x =
`(12)/(9)` =
`(4)/(3)`