Converting 39.94752 to a Fraction
Step-by-step explanation of how to convert 39.94752 to a fraction

Result

39.94752 =
124836
3125
Mixed number:
39
2961
3125

Step 1: Identify the number of decimal places

The decimal 39.94752 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

39.94752 × 100000 = 3994752

Step 3: Write as a fraction

39.94752 =

3994752
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3994752 and 100000.

GCD(3994752, 100000) = 32

Divide both the numerator and denominator by the GCD:

3994752
100000

=

3994752 ÷ 32
100000 ÷ 32

=

124836
3125
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