Converting 31.456 to a Fraction
Step-by-step explanation of how to convert 31.456 to a fraction
Result
31.456 =
3932
125
Mixed number:
31
57
125
Step 1: Identify the number of decimal places
The decimal 31.456 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
31.456 × 1000 = 31456
Step 3: Write as a fraction
31.456 =
31456
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31456 and 1000.
GCD(31456, 1000) = 8
Divide both the numerator and denominator by the GCD:
31456
1000
=
31456 ÷ 8
1000 ÷ 8
=
3932
125
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