Converting 40.94736 to a Fraction
Step-by-step explanation of how to convert 40.94736 to a fraction

Result

40.94736 =
255921
6250
Mixed number:
40
5921
6250

Step 1: Identify the number of decimal places

The decimal 40.94736 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

40.94736 × 100000 = 4094736

Step 3: Write as a fraction

40.94736 =

4094736
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4094736 and 100000.

GCD(4094736, 100000) = 16

Divide both the numerator and denominator by the GCD:

4094736
100000

=

4094736 ÷ 16
100000 ÷ 16

=

255921
6250
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