Converting 78.13808 to a Fraction
Step-by-step explanation of how to convert 78.13808 to a fraction
Result
78.13808 =
488363
6250
Mixed number:
78
863
6250
Step 1: Identify the number of decimal places
The decimal 78.13808 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
78.13808 × 100000 = 7813808
Step 3: Write as a fraction
78.13808 =
7813808
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 7813808 and 100000.
GCD(7813808, 100000) = 16
Divide both the numerator and denominator by the GCD:
7813808
100000
=
7813808 ÷ 16
100000 ÷ 16
=
488363
6250
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