Converting 38.8712 to a Fraction
Step-by-step explanation of how to convert 38.8712 to a fraction

Result

38.8712 =
48589
1250
Mixed number:
38
1089
1250

Step 1: Identify the number of decimal places

The decimal 38.8712 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

38.8712 × 10000 = 388712

Step 3: Write as a fraction

38.8712 =

388712
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 388712 and 10000.

GCD(388712, 10000) = 8

Divide both the numerator and denominator by the GCD:

388712
10000

=

388712 ÷ 8
10000 ÷ 8

=

48589
1250
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