Answer: 2/5
Explanation:
To simplify the fraction 210/525 to its lowest terms, you can find the greatest common divisor (GCD) of the numerator (210) and the denominator (525) and then divide both the numerator and denominator by the GCD.
1. Find the GCD of 210 and 525:
The prime factorization of 210 is 2 × 3 × 5 × 7.
The prime factorization of 525 is 3 × 5^2 × 7.
The common factors are 3, 5, and 7. So, the GCD is 3 × 5 × 7 = 105.
2. Divide both the numerator and denominator by the GCD (105):
(210 ÷ 105) / (525 ÷ 105) = 2/5
So, the simplified fraction in its lowest terms is 2/5.