What is the fraction of 1.266666667?

Answer 1

the fraction of 1.266666667 = 19/15

To convert 1.266666667 to a fraction:

1. Let x = 1.266666667

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 2 places to the right by multiplying it by 100.

Thus,

(x = 1.266666667) * 100

100x = 126.6666667 - equation (1)

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

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

Thus,

(x = 1.266666667) * 10

10x = 12.66666667 - equation (2)

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

100 x - 10x = 126.6666667 - 12.66666667

90x = 114

divide both sides by 90

x = 114/90 or 19/15 in fraction in lowest term