Converting 31.824 to a Fraction
Step-by-step explanation of how to convert 31.824 to a fraction
Result
31.824 =
3978
125
Mixed number:
31
103
125
Step 1: Identify the number of decimal places
The decimal 31.824 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
31.824 × 1000 = 31824
Step 3: Write as a fraction
31.824 =
31824
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31824 and 1000.
GCD(31824, 1000) = 8
Divide both the numerator and denominator by the GCD:
31824
1000
=
31824 ÷ 8
1000 ÷ 8
=
3978
125
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