What is the simplest form of 18/24?

What is the simplest form of 18/24?

• A. 1/2
• B. 6/8
• C. 3/4
• D. 9/12

Answer: (C)

To put a fraction in simplest form, you divide numerator and denominator by their greatest common divisor. For 18/24, both numbers share 6 as a factor (18 = 3×6 and 24 = 4×6). Dividing by 6 gives 3/4. This is in lowest terms because 3 and 4 have no common divisors other than 1. Other representations like 6/8 or 9/12 are essentially the same value but not in simplest form—they can be reduced further to 3/4. The idea is to keep reducing until nothing more can divide both parts, which here yields 3/4.

To put a fraction in simplest form, you divide numerator and denominator by their greatest common divisor. For 18/24, both numbers share 6 as a factor (18 = 3×6 and 24 = 4×6). Dividing by 6 gives 3/4. This is in lowest terms because 3 and 4 have no common divisors other than 1. Other representations like 6/8 or 9/12 are essentially the same value but not in simplest form—they can be reduced further to 3/4. The idea is to keep reducing until nothing more can divide both parts, which here yields 3/4.