Byron wants to use the distributive property to rewrite the addition problem shown so that the numbers left in the parentheses have no common factor except 1. (48 + 36) Which is an equivalent expression that has numbers in the parentheses whos only common factor is 1?
A. 4(12 + 9)
B. 2(24 + 19)
C. 12(4 + 3)
D. 36(12 + 1)
To rewrite the addition problem (48 + 36) using the distributive property, we want to find an equivalent expression with numbers in the parentheses that have no common factor except 1.
Let's look at each answer choice:
A. 4(12 + 9)
The numbers in the parentheses, 12 and 9, have a common factor of 3, so this choice does not meet the condition.
B. 2(24 + 19)
The numbers in the parentheses, 24 and 19, have no common factors, so this choice meets the condition.
C. 12(4 + 3)
The numbers in the parentheses, 4 and 3, have a common factor of 1, so this choice meets the condition.
D. 36(12 + 1)
The numbers in the parentheses, 12 and 1, have a common factor of 1, so this choice meets the condition.
So, the equivalent expression that has numbers in the parentheses whose only common factor is 1 is either choice B or choice C.