.8125 as a Fraction Equals
Converting .8125 to a Fraction
The decimal number .8125 can be converted to a fraction by dividing the numerator by the denominator. To do this, we need to find the equivalent fraction of .8125.
Calculating the Fraction
To calculate the fraction, we can multiply .8125 by 10,000 (since there are four decimal places) to get:
.8125 × 10,000 = 8,125
Next, we need to find the greatest common divisor (GCD) of 8,125 and 10,000. The GCD is:
GCD(8,125, 10,000) = 1,250
Now, we can divide both the numerator and the denominator by the GCD to get the simplified fraction:
8,125 ÷ 1,250 = 65 10,000 ÷ 1,250 = 80
Therefore, the fraction equivalent to .8125 is:
65/80
Simplifying the Fraction
We can further simplify the fraction by dividing both the numerator and the denominator by their GCD:
GCD(65, 80) = 5
65 ÷ 5 = 13 80 ÷ 5 = 16
So, the simplified fraction equivalent to .8125 is:
13/16
There you have it! The decimal number .8125 is equal to the fraction 13/16.
