Converting 12.3076 to a Fraction
Step-by-step explanation of how to convert 12.3076 to a fraction

Result

12.3076 =
30769
2500
Mixed number:
12
769
2500

Step 1: Identify the number of decimal places

The decimal 12.3076 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

12.3076 × 10000 = 123076

Step 3: Write as a fraction

12.3076 =

123076
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 123076 and 10000.

GCD(123076, 10000) = 4

Divide both the numerator and denominator by the GCD:

123076
10000

=

123076 ÷ 4
10000 ÷ 4

=

30769
2500
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