Converting 38.8628 to a Fraction
Step-by-step explanation of how to convert 38.8628 to a fraction

Result

38.8628 =
97157
2500
Mixed number:
38
2157
2500

Step 1: Identify the number of decimal places

The decimal 38.8628 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

38.8628 × 10000 = 388628

Step 3: Write as a fraction

38.8628 =

388628
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 388628 and 10000.

GCD(388628, 10000) = 4

Divide both the numerator and denominator by the GCD:

388628
10000

=

388628 ÷ 4
10000 ÷ 4

=

97157
2500
Related Conversions
Other decimal to fraction conversions you might find useful