Reduce the fraction 18/24 to lowest terms.

Reduce the fraction 18/24 to lowest terms.

• A. 6/8
• B. 9/12
• C. 3/4
• D. 2/3

Answer: (C)

Reducing a fraction means dividing the numerator and the denominator by their greatest common divisor so that no common factors remain. For 18/24, the numbers share factors like 2, 3, and 6, with 6 being the largest common factor. Dividing both by 6 gives 18 ÷ 6 = 3 and 24 ÷ 6 = 4, so the fraction becomes 3/4. Since 3 and 4 have no common factors besides 1, this is the fraction in lowest terms. As a check with the other options: 6/8 simplifies to 3/4, so it’s not already in lowest terms. 9/12 also simplifies to 3/4, so it’s not in lowest terms either. The fraction 2/3 is not equal to 18/24 (2/3 is about 0.6667, while 18/24 is 0.75), so it isn’t equivalent.

Reducing a fraction means dividing the numerator and the denominator by their greatest common divisor so that no common factors remain. For 18/24, the numbers share factors like 2, 3, and 6, with 6 being the largest common factor. Dividing both by 6 gives 18 ÷ 6 = 3 and 24 ÷ 6 = 4, so the fraction becomes 3/4. Since 3 and 4 have no common factors besides 1, this is the fraction in lowest terms.

As a check with the other options: 6/8 simplifies to 3/4, so it’s not already in lowest terms. 9/12 also simplifies to 3/4, so it’s not in lowest terms either. The fraction 2/3 is not equal to 18/24 (2/3 is about 0.6667, while 18/24 is 0.75), so it isn’t equivalent.