Converting 38.94816 to a Fraction
Step-by-step explanation of how to convert 38.94816 to a fraction

Result

38.94816 =
121713
3125
Mixed number:
38
2963
3125

Step 1: Identify the number of decimal places

The decimal 38.94816 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

38.94816 × 100000 = 3894816

Step 3: Write as a fraction

38.94816 =

3894816
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3894816 and 100000.

GCD(3894816, 100000) = 32

Divide both the numerator and denominator by the GCD:

3894816
100000

=

3894816 ÷ 32
100000 ÷ 32

=

121713
3125
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