Question

What is the fractional equivalent of 0.2666
12/45
26/90
28/90

Answer 1

`Let x = 0.2666`


`10x = 2.666`


`100x = 26.666`


`100x - 10x = 26.666= - 2.666`


`90x = 24`


`x = 24/90`


`x = 12/45`

Fraction = 12/45

Answer 2

x = 0.2666... |multiply both sides by 10

10x = 2.666... |multiply both sides by 10

100x = 26.666...

100x - 10x = 26.666... - 2.666...

90x = 24 |divide both sides by 90

x = 24/90

x = 12/45

Answer: 0.2666... = 12/45