Question

Which choice below correctly expresses the sum 18 - 24 as the product of their GCF and another sum?

A) 2 × (9 + 12)
B) 3 × (6 + 8)
C) 4 × (4 + 6)
D) 6 × (3 + 4)

Answer 1

The Greatest Common Factor (GCF) of 18 and 24 is 6. Dividing both numbers by 6 gives us 3 and 4, respectively. Thus, the sum 18 - 24 is correctly expressed as the product of their GCF and another sum: 6 × (3 + 4).

Step-by-step explanation:

The student asked which choice correctly expresses the sum 18 - 24 as the product of their GCF and another sum. To find the Greatest Common Factor (GCF) of 18 and 24, we list their factors:

• Factors of 18: 1, 2, 3, 6, 9, 18
• Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The largest common factor both numbers share is 6. Now, divide both numbers by the GCF to find the other sum:

• 18 ÷ 6 = 3
• 24 ÷ 6 = 4

Therefore, the expression of their sum can be written as the product of their GCF and the resulting quotients: 6 × (3 + 4), which corresponds to option D).