Converting 37.742128 to a Fraction
Step-by-step explanation of how to convert 37.742128 to a fraction

Result

37.742128 =
2358883
62500
Mixed number:
37
46383
62500

Step 1: Identify the number of decimal places

The decimal 37.742128 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

37.742128 × 1000000 = 37742128

Step 3: Write as a fraction

37.742128 =

37742128
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 37742128 and 1000000.

GCD(37742128, 1000000) = 16

Divide both the numerator and denominator by the GCD:

37742128
1000000

=

37742128 ÷ 16
1000000 ÷ 16

=

2358883
62500
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