Converting 37.679872 to a Fraction
Step-by-step explanation of how to convert 37.679872 to a fraction

Result

37.679872 =
588748
15625
Mixed number:
37
10623
15625

Step 1: Identify the number of decimal places

The decimal 37.679872 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

37.679872 × 1000000 = 37679872

Step 3: Write as a fraction

37.679872 =

37679872
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 37679872 and 1000000.

GCD(37679872, 1000000) = 64

Divide both the numerator and denominator by the GCD:

37679872
1000000

=

37679872 ÷ 64
1000000 ÷ 64

=

588748
15625
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