Hi there! The answer is 3 / 2
[tex] \frac{2m + 4}{8} \div \frac{m + 2}{6} = [/tex]
Change into multiplication.
[tex] \frac{2m + 4}{8} \times \frac{6}{m + 2} = [/tex]
Some algebra.
[tex]\frac{6(2m + 4)}{8(m + 2)} = [/tex]
Use the rainbow technique.
[tex] \frac{12m + 24}{8m + 16} = [/tex]
Bring outside parentheses.
[tex] \frac{3(4m + 8)}{2(4m + 8)} = [/tex]
Score out 4m + 8
[tex] \frac{3}{2} [/tex]
Therefore, the fourth answer is correct.
~ Hope this helps you!
