Convert 0.7¯¯¯ to a fraction.

Answer 1

To convert the repeating decimal 0.7¯¯¯ to a fraction, we can let x = 0.7¯¯¯ and subtract it from 10x (because there is only one digit repeating):

10x - x = 7.7¯¯¯ - 0.7¯¯¯
9x = 7

Dividing both sides by 9:

9x/9 = 7/9

x = 7/9

Therefore, 0.7¯¯¯ is equal to the fraction 7/9.