Converting 0.3112 to a Fraction
Step-by-step explanation of how to convert 0.3112 to a fraction

Result

0.3112 =
389
1250

Step 1: Identify the number of decimal places

The decimal 0.3112 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.3112 × 10000 = 3112

Step 3: Write as a fraction

0.3112 =

3112
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3112 and 10000.

GCD(3112, 10000) = 8

Divide both the numerator and denominator by the GCD:

3112
10000

=

3112 ÷ 8
10000 ÷ 8

=

389
1250
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