What is 70.8333333 as a fraction?

Answer 1

425/6

To convert - 70.83333333 to a fraction:

1. Let x = 70.83333333

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 = 70.83333333) * 100

100x = 7083.333333 - 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 = 70.83333333) * 10

10x = 708.3333333 - equation (2)

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

100 x - 10x = 7083.333333 - 708.3333333

90x = 6375

divide both sides by 90

x = 425/90 or 425/6