Question

guided practice
step 3
type the numerator in the left blank and the denominator in the right blank. then click or tap done.
simplify.
\\(\frac{2m}{m + 3}\cdot\frac{2}{2}-\frac{m}{2(m + 3)}\\)

Explanation:

Step1: Simplify the numerator

$\frac{2m}{m+3} \cdot \frac{2}{2} - \frac{m}{2(m+3)} = \frac{4m}{2(m+3)} - \frac{m}{2(m+3)}$

Step2: Subtract the fractions

$\frac{4m - m}{2(m+3)} = \frac{3m}{2(m+3)}$

Step3: Simplify the expression

$\frac{3m}{2(m+3)} \div \frac{3}{2} = \frac{3m}{2(m+3)} \cdot \frac{2}{3} = \frac{m}{m+3}$

Answer:

$\frac{m}{m+3}$