Converting 37.8712 to a Fraction
Step-by-step explanation of how to convert 37.8712 to a fraction

Result

37.8712 =
47339
1250
Mixed number:
37
1089
1250

Step 1: Identify the number of decimal places

The decimal 37.8712 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

37.8712 × 10000 = 378712

Step 3: Write as a fraction

37.8712 =

378712
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 378712 and 10000.

GCD(378712, 10000) = 8

Divide both the numerator and denominator by the GCD:

378712
10000

=

378712 ÷ 8
10000 ÷ 8

=

47339
1250
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