Converting 10.1182 to a Fraction
Step-by-step explanation of how to convert 10.1182 to a fraction

Result

10.1182 =
50591
5000
Mixed number:
10
591
5000

Step 1: Identify the number of decimal places

The decimal 10.1182 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.1182 × 10000 = 101182

Step 3: Write as a fraction

10.1182 =

101182
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 101182 and 10000.

GCD(101182, 10000) = 2

Divide both the numerator and denominator by the GCD:

101182
10000

=

101182 ÷ 2
10000 ÷ 2

=

50591
5000
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