Answer:
x = [tex]\frac{84}{90}[/tex].
Step-by-step explanation:
Given :0.9333
To find : what is 0.9333 repeating as a fraction
Solution : We have given 0.9333
The number 3 is repeating it self .
Let x = 0. 9333
On multiplying both sides by 10 .
10 x = 0.9333 * 10 .
10 x = 9 .333
We can write it as form of x
10 x = 8.4 + 0.9333.
10 x = 8 .4 + x
On subtracting both sides by x
10 x - x = 8 .4 .
9 x = 8.4
On dividing both sides by 9
x = [tex]\frac{8.4}{9}[/tex].
x = [tex]\frac{84]{90}[/tex].
x = [tex]\frac{84}{90}[/tex].
Therefore, x = [tex]\frac{84}{90}[/tex].
