Converting 78.17872 to a Fraction
Step-by-step explanation of how to convert 78.17872 to a fraction

Result

78.17872 =
488617
6250
Mixed number:
78
1117
6250

Step 1: Identify the number of decimal places

The decimal 78.17872 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

78.17872 × 100000 = 7817872

Step 3: Write as a fraction

78.17872 =

7817872
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7817872 and 100000.

GCD(7817872, 100000) = 16

Divide both the numerator and denominator by the GCD:

7817872
100000

=

7817872 ÷ 16
100000 ÷ 16

=

488617
6250
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