What is 1.1666666666667 as a fraction?

Answer 1

7/6

To convert - 1.1666666667 to a fraction:

1. Let x = 1.1666666667

2. The repeating digit is 6.

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

In this case, move the decimal point 1 place to the right by multiplying it by 10.

Thus,

(x = 1.666666667) * 100

100x = 116.6666667 - 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 = 1.1666666667) * 10

10x = 11.666666667 - equation (2)

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

100 x - 10x = 116.6666667 - 11.666666667

90x = 105

divide both sides by 90

x = 105/90 or 7/6