The fraction-decimal calculator is a tool that allows users to convert fractions to decimals and vice versa. Users can enter the numerator and denominator of a fraction to determine its decimal value or enter a decimal to find its simplified fraction value. The calculator simplifies the fraction using the greatest common denominator (GCD) to ensure that the fraction is in its simplest form.
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Fraction to Decimal
Converting the fraction to the decimal is easy. You should enter the numerator and denominator of a fraction; then, the calculator divides one by another and formats according to the desired precision.
Decimal to Fraction
Converting the decimal to the fraction is trickier (if you want to get a nice-looking result). Let's look at the example value of 0.375.
First, the calculator gets the numerator and denominator of a decimal fraction, that is, 0.375 and 1. Both are multiplied by the necessary power of 10 to get rid of the decimal point, i.e., to get integers, that is, 375 and 1000. Then the calculator looks for the greatest common divisor (GCD) of these two integers. Both integers are then divided by it to get smaller values. Let's do it with our example
The GCD of 375 and 1000 is 125. 375 divided by 125 equals 3, 1000 divided by 125 equals 8. The resulting fraction is 3/8.