Converting 31.7872 to a Fraction
Step-by-step explanation of how to convert 31.7872 to a fraction
Result
31.7872 =
19867
625
Mixed number:
31
492
625
Step 1: Identify the number of decimal places
The decimal 31.7872 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
31.7872 × 10000 = 317872
Step 3: Write as a fraction
31.7872 =
317872
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 317872 and 10000.
GCD(317872, 10000) = 16
Divide both the numerator and denominator by the GCD:
317872
10000
=
317872 ÷ 16
10000 ÷ 16
=
19867
625
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