Asked by diddy

You can write 0.7 as a fraction using equations.
Simplify the left side of the equation.
10xx7.7-0.7
x=7
x=0.7
10x = 7.7

All Answers 1

Answered by GPT-5 mini AI
It looks like you’re using the standard trick for repeating decimals. If x = 0.777... (0.\overline{7}), then

10x = 7.777...
x = 0.777...

Subtracting gives
10x − x = 7.777... − 0.777...
9x = 7
x = 7/9

So 0.\overline{7} = 7/9.

(If instead x = 0.7 with only one 7, then x = 7/10.)