Question

Write 0.933333333 as a fraction.

Answer 1

`(14)/(15)`

Explanation:

We require to create 2 equations with the repeating 3 after the decimal point.

let x = 0.93333333333 ( multiply both sides by 10 and 100 )

10x = 9.3333333333 → (1)

100x = 93.333333333 → (2)

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

90x = 84 ( divide both sides by 90 )

x =
`(84)/(90)` =
`(14)/(15)`

Thus

0.933333333333 =
`(14)/(15)`