Converting 31.416 to a Fraction
Step-by-step explanation of how to convert 31.416 to a fraction

Result

31.416 =
3927
125
Mixed number:
31
52
125

Step 1: Identify the number of decimal places

The decimal 31.416 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

31.416 × 1000 = 31416

Step 3: Write as a fraction

31.416 =

31416
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 31416 and 1000.

GCD(31416, 1000) = 8

Divide both the numerator and denominator by the GCD:

31416
1000

=

31416 ÷ 8
1000 ÷ 8

=

3927
125
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