Converting 0.3086 to a Fraction
Step-by-step explanation of how to convert 0.3086 to a fraction

Result

0.3086 =
1543
5000

Step 1: Identify the number of decimal places

The decimal 0.3086 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.3086 × 10000 = 3086

Step 3: Write as a fraction

0.3086 =

3086
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3086 and 10000.

GCD(3086, 10000) = 2

Divide both the numerator and denominator by the GCD:

3086
10000

=

3086 ÷ 2
10000 ÷ 2

=

1543
5000
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