Question

0.933333 as a fraction show work

Answer 1

14/15

Explanation:

Let x = 0.9333...

Multiply this by 100:

100x = 93.333...

Multiply the first one by 10, as well:

10x = 9.333...

We now have:

100x = 93.333...

10x = 9.333...

Since the right of the decimal point for both numbers includes this repeating 3 part, we can simply subtract the two equations and cancel out the 3s:

100x - 10x = 93.333... - 9.333...

90x = 84

Divide by 90:

x = 84/90 = 14/15

The answer is thus 14/15.

~ an aesthetics lover

Answer 2

84/90

Explanation:

Let 0.9333....... be x.

10x = 9.3333....... & 100x = 93.33333.......

So,

=> 100x - 10x = 93.33333...... - 9.333333.....

=> 90x = 84

=> x = 84/90