Converting 78.71792 to a Fraction
Step-by-step explanation of how to convert 78.71792 to a fraction
Result
78.71792 =
491987
6250
Mixed number:
78
4487
6250
Step 1: Identify the number of decimal places
The decimal 78.71792 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
78.71792 × 100000 = 7871792
Step 3: Write as a fraction
78.71792 =
7871792
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 7871792 and 100000.
GCD(7871792, 100000) = 16
Divide both the numerator and denominator by the GCD:
7871792
100000
=
7871792 ÷ 16
100000 ÷ 16
=
491987
6250
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