Converting 83.75872 to a Fraction
Step-by-step explanation of how to convert 83.75872 to a fraction

Result

83.75872 =
261746
3125
Mixed number:
83
2371
3125

Step 1: Identify the number of decimal places

The decimal 83.75872 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

83.75872 × 100000 = 8375872

Step 3: Write as a fraction

83.75872 =

8375872
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8375872 and 100000.

GCD(8375872, 100000) = 32

Divide both the numerator and denominator by the GCD:

8375872
100000

=

8375872 ÷ 32
100000 ÷ 32

=

261746
3125
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