Converting 40.69872 to a Fraction
Step-by-step explanation of how to convert 40.69872 to a fraction

Result

40.69872 =
254367
6250
Mixed number:
40
4367
6250

Step 1: Identify the number of decimal places

The decimal 40.69872 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

40.69872 × 100000 = 4069872

Step 3: Write as a fraction

40.69872 =

4069872
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4069872 and 100000.

GCD(4069872, 100000) = 16

Divide both the numerator and denominator by the GCD:

4069872
100000

=

4069872 ÷ 16
100000 ÷ 16

=

254367
6250
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