Converting .625 to a Fraction
In decimal notation, .625 is a common value that can be converted to a fraction. But what is the equivalent fraction of .625?
The Conversion Process
To convert .625 to a fraction, we need to divide the decimal value by a power of 10 that eliminates the decimal places. In this case, we can divide .625 by 1000, which is equivalent to moving the decimal point three places to the right.
.625 ÷ 1000 = 625/1000
Simplifying the Fraction
Now that we have a fraction, we can simplify it by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 625 and 1000 is 125. So, we can divide both numbers by 125:
625 ÷ 125 = 5 1000 ÷ 125 = 8
The Equivalent Fraction
The simplified fraction of .625 is:
5/8
Therefore, the decimal value .625 is equivalent to the fraction 5/8.