Converting 11.8274 to a Fraction
Step-by-step explanation of how to convert 11.8274 to a fraction

Result

11.8274 =
59137
5000
Mixed number:
11
4137
5000

Step 1: Identify the number of decimal places

The decimal 11.8274 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.8274 × 10000 = 118274

Step 3: Write as a fraction

11.8274 =

118274
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 118274 and 10000.

GCD(118274, 10000) = 2

Divide both the numerator and denominator by the GCD:

118274
10000

=

118274 ÷ 2
10000 ÷ 2

=

59137
5000
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