Converting 31.14 to a Fraction
Step-by-step explanation of how to convert 31.14 to a fraction
Result
31.14 =
1557
50
Mixed number:
31
7
50
Step 1: Identify the number of decimal places
The decimal 31.14 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
31.14 × 100 = 3114
Step 3: Write as a fraction
31.14 =
3114
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3114 and 100.
GCD(3114, 100) = 2
Divide both the numerator and denominator by the GCD:
3114
100
=
3114 ÷ 2
100 ÷ 2
=
1557
50
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