Respuesta :
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:
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 [tex]0.5\bar3[/tex] which is the same as [tex]\frac{1}{2}+\frac{1}{30} =\frac{15+1}{30} =\frac{16}{30} =\frac{8}{15}[/tex]0.53333......
Therefore, to find the simplified fraction, we split the resultant value into the component parts as follows;
[tex]0.5\bar3[/tex] = 0.5 + 0.0[tex]\bar3[/tex]
We observe that the above equation is the same as [tex]\frac{1}{2}+\frac{1}{30}[/tex]
Hence, we simplify [tex]\frac{1}{2}+\frac{1}{30}[/tex] to arrive at
Therefore, the simplified fraction = 1/8.
