Converting 37.1728 to a Fraction
Step-by-step explanation of how to convert 37.1728 to a fraction
Result
37.1728 =
23233
625
Mixed number:
37
108
625
Step 1: Identify the number of decimal places
The decimal 37.1728 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
37.1728 × 10000 = 371728
Step 3: Write as a fraction
37.1728 =
371728
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 371728 and 10000.
GCD(371728, 10000) = 16
Divide both the numerator and denominator by the GCD:
371728
10000
=
371728 ÷ 16
10000 ÷ 16
=
23233
625
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