what fraction is equal to 0.72222222....

To determine the fraction that is equal to 0.72222222..., we can follow these steps:

Let x = 0.72222222...

Multiply both sides of the equation by 10 to move the decimal point to the right:
10x = 7.22222222...

Subtract x from both sides to eliminate the decimal part:
10x - x = 7.22222222... - 0.72222222...
9x = 6.5 (since the repeating decimal part cancels out)

Divide both sides by 9 to isolate x:
x = 6.5/9

Thus, the fraction equivalent to 0.72222222... is 6.5/9.