Final answer:
To simplify the fraction 1821/2366, divide both the numerator and denominator by their greatest common divisor (GCD). The simplified fraction is 21/26.
Step-by-step explanation:
To simplify the fraction 1821/2366, we need to find the greatest common divisor (GCD) of 1821 and 2366, and then divide both the numerator and denominator by the GCD.
The GCD of 1821 and 2366 is 91.
So, we simplify 1821/2366 as follows:
1821 ÷ 91 = 21
2366 ÷ 91 = 26
Therefore, 1821/2366 simplifies to the fraction 21/26.