Question

Convert decimal 0.79 to fraction ( the last digit 9 repeating)

Answer 1

Given:

`\text{Let x=0.7999}\ldots\text{ (1)}`

Multiply euation (1) by 10 on both sides

`10x=7.999\ldots\text{ (2)}`

Multiply equation (1) by 100 on both sides

`100x=79.999\ldots\text{ (3)}`

Subtract equation(2) from equation(3)

`90x=72`
`x=(72)/(90)`
`x=(4)/(5)`
`0.79=(4)/(5)`