Converting 38.96512 to a Fraction
Step-by-step explanation of how to convert 38.96512 to a fraction

Result

38.96512 =
121766
3125
Mixed number:
38
3016
3125

Step 1: Identify the number of decimal places

The decimal 38.96512 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

38.96512 × 100000 = 3896512

Step 3: Write as a fraction

38.96512 =

3896512
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3896512 and 100000.

GCD(3896512, 100000) = 32

Divide both the numerator and denominator by the GCD:

3896512
100000

=

3896512 ÷ 32
100000 ÷ 32

=

121766
3125
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