Converting 31.644 to a Fraction
Step-by-step explanation of how to convert 31.644 to a fraction

Result

31.644 =
7911
250
Mixed number:
31
161
250

Step 1: Identify the number of decimal places

The decimal 31.644 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

31.644 × 1000 = 31644

Step 3: Write as a fraction

31.644 =

31644
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31644 and 1000.

GCD(31644, 1000) = 4

Divide both the numerator and denominator by the GCD:

31644
1000

=

31644 ÷ 4
1000 ÷ 4

=

7911
250
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