Converting 11.59096 to a Fraction
Step-by-step explanation of how to convert 11.59096 to a fraction

Result

11.59096 =
144887
12500
Mixed number:
11
7387
12500

Step 1: Identify the number of decimal places

The decimal 11.59096 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

11.59096 × 100000 = 1159096

Step 3: Write as a fraction

11.59096 =

1159096
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1159096 and 100000.

GCD(1159096, 100000) = 8

Divide both the numerator and denominator by the GCD:

1159096
100000

=

1159096 ÷ 8
100000 ÷ 8

=

144887
12500
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