Answer:
0.9333.... = [tex]\frac{14}{15}[/tex].
Step-by-step explanation:
We have given a decimal form 0.9333.... .
According to the question, we need to write a fraction for given decimal form 0.9333.... .
Let x be a fraction and
x = 0.9333.... --------equation(1)
Multiplying both side by 10, we get
10x = 9.333.... --------equation(2)
Multiplying both side by 10, we get
100x = 93.333... --------equation(3)
Subtracting equation(2) fro equation(3), we get
100x - 10x = 93.333... - 9.333....
90x = 84
Dividing both sides by 90, we get
x = [tex]\frac{84}{90}[/tex]
On simplifying fraction, we get
x = [tex]\frac{14}{15}[/tex]
Therefore, 0.9333.... = [tex]\frac{14}{15}[/tex].
