Converting 0.3128 to a Fraction
Step-by-step explanation of how to convert 0.3128 to a fraction

Result

0.3128 =
391
1250

Step 1: Identify the number of decimal places

The decimal 0.3128 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.3128 × 10000 = 3128

Step 3: Write as a fraction

0.3128 =

3128
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3128 and 10000.

GCD(3128, 10000) = 8

Divide both the numerator and denominator by the GCD:

3128
10000

=

3128 ÷ 8
10000 ÷ 8

=

391
1250
Related Conversions
Other decimal to fraction conversions you might find useful