Converting 31.836 to a Fraction
Step-by-step explanation of how to convert 31.836 to a fraction
Result
31.836 =
7959
250
Mixed number:
31
209
250
Step 1: Identify the number of decimal places
The decimal 31.836 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
31.836 × 1000 = 31836
Step 3: Write as a fraction
31.836 =
31836
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31836 and 1000.
GCD(31836, 1000) = 4
Divide both the numerator and denominator by the GCD:
31836
1000
=
31836 ÷ 4
1000 ÷ 4
=
7959
250
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