Question

Find the gcf of the two numbers, and rewrite the sum of the two numbers using the distributive property. 18+42 responses a 3(6+14)

b 6(3 +7)
c 3(6 × 14)
d 6(3 × 7)

Answer 1

The greatest common factor (GCF) of 18 and 42 is 6. Using the distributive property with this GCF, we can rewrite the expression 18+42 as 6(3 +7). Hence, option b is the correct answer.

Step-by-step explanation:

The problem is asking us to first find the greatest common factor (GCF) of two numbers (18 and 42) and then rewrite their sum using the distributive property with the GCF as a common factor in the expression.

First, let's find the GCF.

The factors of 18 are 1, 2, 3, 6, 9, and 18. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.

The GCF is the highest common factor, which in this case is 6.

Now let's rewrite the sum (18+42) using the distributive property and the GCF we've found. Using 6 as the GCF, the expression becomes 6(3+7). This is because 6 times 3 equals 18 and 6 times 7 equals 42. So the answer to your question is option b, which is 6(3+7).

Learn more about Greatest Common Factor and Distributive Property