Question

Which simplified fraction is equal to 0.5ModifyingAbove 3 with bar? StartFraction 24 Over 45 EndFraction StartFraction 8 Over 15 EndFraction StartFraction 48 Over 90 EndFraction StartFraction 5 Over 9 EndFraction

Answer 1

The simplified fraction is 1/8

The correct option is;

StartFraction 8 Over 15 EndFraction

Explanation:

Here, we are given the simplified fraction result as
`0.5\bar3` which is the same as
`(1)/(2)+(1)/(30) =(15+1)/(30) =(16)/(30) =(8)/(15)`0.53333......

Therefore, to find the simplified fraction, we split the resultant value into the component parts as follows;

`0.5\bar3` = 0.5 + 0.0
`\bar3`

We observe that the above equation is the same as
`(1)/(2)+(1)/(30)`

Hence, we simplify
`(1)/(2)+(1)/(30)` to arrive at

Therefore, the simplified fraction = 1/8.

Answer 2

StartFraction 8 Over 15 EndFraction

Explanation:

We want to represent 0.5333... as a fraction. Let's call x that fraction:

x = 0.5333

Then,

10x = 5.3333

100x = 53.333

100x - 10x = 53.333 - 5.3333

90x = 48

x = 48/90

dividing numerator and denominator by 6, we get:

(48/6) / (90/6) =8/15