Converting 37.2728 to a Fraction
Step-by-step explanation of how to convert 37.2728 to a fraction

Result

37.2728 =
46591
1250
Mixed number:
37
341
1250

Step 1: Identify the number of decimal places

The decimal 37.2728 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

37.2728 × 10000 = 372728

Step 3: Write as a fraction

37.2728 =

372728
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 372728 and 10000.

GCD(372728, 10000) = 8

Divide both the numerator and denominator by the GCD:

372728
10000

=

372728 ÷ 8
10000 ÷ 8

=

46591
1250
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