Converting 11.8308 to a Fraction
Step-by-step explanation of how to convert 11.8308 to a fraction

Result

11.8308 =
29577
2500
Mixed number:
11
2077
2500

Step 1: Identify the number of decimal places

The decimal 11.8308 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.8308 × 10000 = 118308

Step 3: Write as a fraction

11.8308 =

118308
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 118308 and 10000.

GCD(118308, 10000) = 4

Divide both the numerator and denominator by the GCD:

118308
10000

=

118308 ÷ 4
10000 ÷ 4

=

29577
2500
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