Converting 40.20712 to a Fraction
Step-by-step explanation of how to convert 40.20712 to a fraction

Result

40.20712 =
502589
12500
Mixed number:
40
2589
12500

Step 1: Identify the number of decimal places

The decimal 40.20712 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

40.20712 × 100000 = 4020712

Step 3: Write as a fraction

40.20712 =

4020712
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4020712 and 100000.

GCD(4020712, 100000) = 8

Divide both the numerator and denominator by the GCD:

4020712
100000

=

4020712 ÷ 8
100000 ÷ 8

=

502589
12500
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