Converting 40.5688 to a Fraction
Step-by-step explanation of how to convert 40.5688 to a fraction

Result

40.5688 =
50711
1250
Mixed number:
40
711
1250

Step 1: Identify the number of decimal places

The decimal 40.5688 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

40.5688 × 10000 = 405688

Step 3: Write as a fraction

40.5688 =

405688
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 405688 and 10000.

GCD(405688, 10000) = 8

Divide both the numerator and denominator by the GCD:

405688
10000

=

405688 ÷ 8
10000 ÷ 8

=

50711
1250
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