Converting 37.2124 to a Fraction
Step-by-step explanation of how to convert 37.2124 to a fraction

Result

37.2124 =
93031
2500
Mixed number:
37
531
2500

Step 1: Identify the number of decimal places

The decimal 37.2124 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

37.2124 × 10000 = 372124

Step 3: Write as a fraction

37.2124 =

372124
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 372124 and 10000.

GCD(372124, 10000) = 4

Divide both the numerator and denominator by the GCD:

372124
10000

=

372124 ÷ 4
10000 ÷ 4

=

93031
2500
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