Converting 31.816 to a Fraction
Step-by-step explanation of how to convert 31.816 to a fraction

Result

31.816 =
3977
125
Mixed number:
31
102
125

Step 1: Identify the number of decimal places

The decimal 31.816 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

31.816 × 1000 = 31816

Step 3: Write as a fraction

31.816 =

31816
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31816 and 1000.

GCD(31816, 1000) = 8

Divide both the numerator and denominator by the GCD:

31816
1000

=

31816 ÷ 8
1000 ÷ 8

=

3977
125
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