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

Answer:

StartFraction 8 Over 15 EndFraction

Step-by-step 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

Answer 2

Answer:

The simplified fraction is 1/8

The correct option is;

StartFraction 8 Over 15 EndFraction

Step-by-step explanation:

Here, we are given the simplified fraction result as $0.5\bar3$ which is the same as $\frac{1}{2}+\frac{1}{30} =\frac{15+1}{30} =\frac{16}{30} =\frac{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 $\frac{1}{2}+\frac{1}{30}$

Hence, we simplify  $\frac{1}{2}+\frac{1}{30}$ to arrive at

Therefore, the simplified fraction = 1/8.