What is 0.1333333333 as a decimal?

Answer 1

2/15

To convert 0.13333333 to a fraction:

1. Let x = 0.13333333

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 2 places to the right by multiplying it by 100.

Thus,

(x = 0.13333333) * 100

100x = 13.333333 - equation (1)

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

In this case, move the decimal point 1 place to the right.

Thus,

(x = 0.13333333) * 100

10x = 1.3333333 - equation (2)

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

100 x - 10x = 13.333333 - 1.3333333

90x = 12

divide both sides by 900

x = 12/90 or 2/15