Answer
4a. b=$\frac{60}{23}$
4b. m=$\frac{13}{6}$
Work Step by Step
4a. I chose this method because it is the simplest way of solving a problem with fractions in it. It is an easy way to combine like terms/
$\frac{2b}{5}+\frac{3b}{4}=3$
Multiply both sides by the LCM: 20
$\frac{2b}{5}\times20+\frac{3b}{4}\times20=3\times20$
Simplify:
$8b+15b=60$
$23b=60$
Divide both sides by 23:
$\frac{23b}{23}=\frac{60}{23}$
Simplify:
$b=\frac{60}{23}$
4b. I chose this method because it is the simplest way of solving a problem with fractions in it. It is an easy way to combine like terms.
$\frac{1}{9}=\frac{5}{6}-\frac{m}{3}$
Switch sides:
$\frac{5}{6}-\frac{m}{3}=\frac{1}{9}$
Subtract $\frac{5}{6}$
$\frac{5}{6}-\frac{5}{6}-\frac{m}{3}=\frac{1}{9}-\frac{5}{6}$
Simplify:
$-\frac{m}{3}=\frac{1}{9}-\frac{5}{6}$
Multiply both sides by 3:
$3(-\frac{m}{3})=3(-\frac{13}{18})$
Simplify:
$-m=-\frac{13}{6}$
Divide both sides by -1
$\frac{-m}{-1}=\frac{-\frac{13}{6}}{-1}$
Simplify: $m=\frac{13}{6}$
