Converting 0.3147 to a Fraction
Step-by-step explanation of how to convert 0.3147 to a fraction

Result

0.3147 =
3147
10000

Step 1: Identify the number of decimal places

The decimal 0.3147 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.3147 × 10000 = 3147

Step 3: Write as a fraction

0.3147 =

3147
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3147 and 10000.

GCD(3147, 10000) = 1

Divide both the numerator and denominator by the GCD:

3147
10000

=

3147 ÷ 1
10000 ÷ 1

=

3147
10000
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