Question

Which gives 28 + 24 as a product of the GCF and a sum?

a. 2 (14 + 12)

b. 4 (7 + 6)

c. 2 (26 + 22)

d. 40 + 12

Answer 1

Answer:

b. 4 (7 + 6)

Step-by-step explanation:

Finding the GCF between 28 and 24:

We keep dividing while both numbers can be divided by the same factor. So

28 - 24|2

14 - 12|2

7 - 6

There is no number for which 7 and 6 are both divisible by, so the GCF between 28 and 24 is 4.

Simplifying in function of the GCF:

Now, we put 4 in evidence, and divide the rest of the expression by 4. So

$28 + 24 = 4(\frac{28}{4} + \frac{24}{4}) = 4(7 + 6)$

The answer is given by option b.