Convert the decimal below to a fraction in simplest form.

0, point, 7, 9
0.79

1 answer

To convert the decimal \(0.79\) to a fraction, we can follow these steps:

  1. Write the decimal as a fraction: \[ 0.79 = \frac{79}{100} \] This is because there are two digits after the decimal point, so we use 100 as the denominator.

  2. Simplify the fraction: We check for the greatest common divisor (GCD) of 79 and 100. Since 79 is a prime number and it does not divide 100 evenly, the GCD is 1. Therefore, the fraction is already in its simplest form.

Thus, the simplest form of \(0.79\) as a fraction is: \[ \frac{79}{100} \]