Converting 11.80728 to a Fraction
Step-by-step explanation of how to convert 11.80728 to a fraction

Result

11.80728 =
147591
12500
Mixed number:
11
10091
12500

Step 1: Identify the number of decimal places

The decimal 11.80728 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

11.80728 × 100000 = 1180728

Step 3: Write as a fraction

11.80728 =

1180728
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1180728 and 100000.

GCD(1180728, 100000) = 8

Divide both the numerator and denominator by the GCD:

1180728
100000

=

1180728 ÷ 8
100000 ÷ 8

=

147591
12500
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