Converting 11.59848 to a Fraction
Step-by-step explanation of how to convert 11.59848 to a fraction

Result

11.59848 =
144981
12500
Mixed number:
11
7481
12500

Step 1: Identify the number of decimal places

The decimal 11.59848 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

11.59848 × 100000 = 1159848

Step 3: Write as a fraction

11.59848 =

1159848
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1159848 and 100000.

GCD(1159848, 100000) = 8

Divide both the numerator and denominator by the GCD:

1159848
100000

=

1159848 ÷ 8
100000 ÷ 8

=

144981
12500
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