Converting 11.80782 to a Fraction
Step-by-step explanation of how to convert 11.80782 to a fraction
Result
11.80782 =
590391
50000
Mixed number:
11
40391
50000
Step 1: Identify the number of decimal places
The decimal 11.80782 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
11.80782 × 100000 = 1180782
Step 3: Write as a fraction
11.80782 =
1180782
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1180782 and 100000.
GCD(1180782, 100000) = 2
Divide both the numerator and denominator by the GCD:
1180782
100000
=
1180782 ÷ 2
100000 ÷ 2
=
590391
50000
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