Converting 31.1264 to a Fraction
Step-by-step explanation of how to convert 31.1264 to a fraction

Result

31.1264 =
19454
625
Mixed number:
31
79
625

Step 1: Identify the number of decimal places

The decimal 31.1264 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

31.1264 × 10000 = 311264

Step 3: Write as a fraction

31.1264 =

311264
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 311264 and 10000.

GCD(311264, 10000) = 16

Divide both the numerator and denominator by the GCD:

311264
10000

=

311264 ÷ 16
10000 ÷ 16

=

19454
625
Related Conversions
Other decimal to fraction conversions you might find useful