Converting 11.786 to a Fraction
Step-by-step explanation of how to convert 11.786 to a fraction
Result
11.786 =
5893
500
Mixed number:
11
393
500
Step 1: Identify the number of decimal places
The decimal 11.786 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
11.786 × 1000 = 11786
Step 3: Write as a fraction
11.786 =
11786
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 11786 and 1000.
GCD(11786, 1000) = 2
Divide both the numerator and denominator by the GCD:
11786
1000
=
11786 ÷ 2
1000 ÷ 2
=
5893
500
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