How do you write 0.08333 as a fraction?

Answer 1

0.08333 as a fraction = 1/12

To convert - 0.08333... to a fraction:

1. Let x = 0.08333...

2. The repeating digit is 3.

3. Place the repeating digit to the left of the decimal point.

In this case, move the decimal point 3 places to the right by multiplying it by 1000.

Thus,

(x = 0.08333...) * 1000

1000x = 83.333... - equation (1)

4. Place the repeating digit to the right of the decimal point.

In this case, move the decimal point 2 places to the right.

Thus,

(x = 0.08333...) * 100

100x = 8.333... - equation (2)

5. Subtract Eq.(2) from Eq.(1)

1000 x - 100x = 83.333... - 8.333...

900x = 75

divide both sides by 900

x = 75/900 or 1/12