The decimal number .8125 can be expressed as a fraction in its simplest form. This process involves converting the decimal into a fraction by placing the decimal portion over the place value of the last digit, and then simplifying the resulting fraction.
To start, we identify the place value of the last digit in the decimal, which is the thousandths place in this case. We then write the decimal as a fraction with the decimal portion (0.8125) on top and the place value (1000) on the bottom.
This gives us the fraction 8125/10000. However, this fraction can be simplified further by finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by this GCD.
The GCD of 8125 and 10000 is 125. Dividing both the numerator and the denominator by 125, we get 65/80. This fraction can be simplified even more by dividing both the numerator and the denominator by their GCD, which is 5, resulting in the final simplified fraction of 13/16.
Therefore, .8125 as a fraction is 13/16.