Converting 31.4236 to a Fraction
Step-by-step explanation of how to convert 31.4236 to a fraction
Result
31.4236 =
78559
2500
Mixed number:
31
1059
2500
Step 1: Identify the number of decimal places
The decimal 31.4236 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
31.4236 × 10000 = 314236
Step 3: Write as a fraction
31.4236 =
314236
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 314236 and 10000.
GCD(314236, 10000) = 4
Divide both the numerator and denominator by the GCD:
314236
10000
=
314236 ÷ 4
10000 ÷ 4
=
78559
2500
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