Converting 31.3876 to a Fraction
Step-by-step explanation of how to convert 31.3876 to a fraction
Result
31.3876 =
78469
2500
Mixed number:
31
969
2500
Step 1: Identify the number of decimal places
The decimal 31.3876 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
31.3876 × 10000 = 313876
Step 3: Write as a fraction
31.3876 =
313876
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 313876 and 10000.
GCD(313876, 10000) = 4
Divide both the numerator and denominator by the GCD:
313876
10000
=
313876 ÷ 4
10000 ÷ 4
=
78469
2500
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