Converting 31.144 to a Fraction
Step-by-step explanation of how to convert 31.144 to a fraction
Result
31.144 =
3893
125
Mixed number:
31
18
125
Step 1: Identify the number of decimal places
The decimal 31.144 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
31.144 × 1000 = 31144
Step 3: Write as a fraction
31.144 =
31144
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31144 and 1000.
GCD(31144, 1000) = 8
Divide both the numerator and denominator by the GCD:
31144
1000
=
31144 ÷ 8
1000 ÷ 8
=
3893
125
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