Converting 9.1182 to a Fraction
Step-by-step explanation of how to convert 9.1182 to a fraction
Result
9.1182 =
45591
5000
Mixed number:
9
591
5000
Step 1: Identify the number of decimal places
The decimal 9.1182 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
9.1182 × 10000 = 91182
Step 3: Write as a fraction
9.1182 =
91182
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 91182 and 10000.
GCD(91182, 10000) = 2
Divide both the numerator and denominator by the GCD:
91182
10000
=
91182 ÷ 2
10000 ÷ 2
=
45591
5000
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