Converting 31.5688 to a Fraction
Step-by-step explanation of how to convert 31.5688 to a fraction

Result

31.5688 =
39461
1250
Mixed number:
31
711
1250

Step 1: Identify the number of decimal places

The decimal 31.5688 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

31.5688 × 10000 = 315688

Step 3: Write as a fraction

31.5688 =

315688
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 315688 and 10000.

GCD(315688, 10000) = 8

Divide both the numerator and denominator by the GCD:

315688
10000

=

315688 ÷ 8
10000 ÷ 8

=

39461
1250
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