Explanation:
Factors of 66 = 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
GCF (greatest common factor) = 6
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. He wrote it as :
66 + 36 = 3 (22 + 12)
But he is wrong. He multiplied (22+12) by 3 which is wrong. The correct step should be :
66 + 36 = 6 (11+ 6)
= 6(17)
= 102
Hence, this is the required solution.