Question

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

Answer 1

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

Answer 2

$Let x = 0.2666$

$10x = 2.666$  

$100x = 26.666$

$100x - 10x = 26.666= - 2.666$

$90x = 24$

$x = 24/90$

$x = 12/45$

Fraction = 12/45