Use the limiting sum formula $=a÷1_rto express 0•77to it's simplest fraction.

Answer 1

To express 0.77 as a fraction using the limiting sum formula, we can write it as:

0.77 = 7/10 + 7/100 + 7/1000 + ...

= 7/(10^1) + 7/(10^2) + 7/(10^3) + ...

Using the formula for the limiting sum of a geometric series, we have:

0.77 = 7/(10/(1-1/10)) = 7/(10/(9/10)) = 7/(9) = 7/9

Therefore, 0.77 can be expressed as the simplest fraction 7/9.