Convert the following repeating decimal to a fraction in simplest form.
point, 7, start overline, 5, overline
.7
5
To convert the repeating decimal .75 to a fraction, we can let x = .75 and subtract it from 10x to eliminate the decimal point:
10x = 7.75
x = .75
Now, subtracting these two equations:
10x - x = 7.75 - .75
9x = 7
x = 7/9
Therefore, the repeating decimal .75 can be expressed as the fraction 7/9 in simplest form.