Converting 31.3784 to a Fraction
Step-by-step explanation of how to convert 31.3784 to a fraction
Result
31.3784 =
39223
1250
Mixed number:
31
473
1250
Step 1: Identify the number of decimal places
The decimal 31.3784 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
31.3784 × 10000 = 313784
Step 3: Write as a fraction
31.3784 =
313784
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 313784 and 10000.
GCD(313784, 10000) = 8
Divide both the numerator and denominator by the GCD:
313784
10000
=
313784 ÷ 8
10000 ÷ 8
=
39223
1250
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