Converting 40.94072 to a Fraction
Step-by-step explanation of how to convert 40.94072 to a fraction

Result

40.94072 =
511759
12500
Mixed number:
40
11759
12500

Step 1: Identify the number of decimal places

The decimal 40.94072 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

40.94072 × 100000 = 4094072

Step 3: Write as a fraction

40.94072 =

4094072
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4094072 and 100000.

GCD(4094072, 100000) = 8

Divide both the numerator and denominator by the GCD:

4094072
100000

=

4094072 ÷ 8
100000 ÷ 8

=

511759
12500
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