what is the quotient?\n$\frac{2m + 4}{8}div\frac{m + 2}{6}$\n$\frac{24}{(m + 2)^2}$\n$\frac{(m +…

what is the quotient?\n$\frac{2m + 4}{8}div\frac{m + 2}{6}$\n$\frac{24}{(m + 2)^2}$\n$\frac{(m + 2)^2}{24}$\n$\frac{2}{3}$\n$\frac{3}{2}$

what is the quotient?\n$\frac{2m + 4}{8}div\frac{m + 2}{6}$\n$\frac{24}{(m + 2)^2}$\n$\frac{(m + 2)^2}{24}$\n$\frac{2}{3}$\n$\frac{3}{2}$

Answer

Explanation:

Step1: Factor the numerator of the first - fraction

Factor out 2 from (2m + 4) to get (2(m + 2)). So the expression becomes (\frac{2(m + 2)}{8}\div\frac{m + 2}{6}).

Step2: Change division to multiplication

Recall that dividing by a fraction is the same as multiplying by its reciprocal. So (\frac{2(m + 2)}{8}\div\frac{m + 2}{6}=\frac{2(m + 2)}{8}\times\frac{6}{m + 2}).

Step3: Simplify the expression

Cancel out the common factor ((m + 2)) in the numerator and denominator. We get (\frac{2}{8}\times6). Then simplify (\frac{2}{8}=\frac{1}{4}), and (\frac{1}{4}\times6=\frac{6}{4}=\frac{3}{2}).

Answer:

(\frac{3}{2})