Converting 38.962816 to a Fraction
Step-by-step explanation of how to convert 38.962816 to a fraction

Result

38.962816 =
608794
15625
Mixed number:
38
15044
15625

Step 1: Identify the number of decimal places

The decimal 38.962816 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

38.962816 × 1000000 = 38962816

Step 3: Write as a fraction

38.962816 =

38962816
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 38962816 and 1000000.

GCD(38962816, 1000000) = 64

Divide both the numerator and denominator by the GCD:

38962816
1000000

=

38962816 ÷ 64
1000000 ÷ 64

=

608794
15625
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