1) $-\frac{1}{3} = \frac{4}{9}p$
Multiply both sides by $\frac{9}{4}$:
$p = -\frac{1}{3} \cdot \frac{9}{4} = -\frac{3}{4}$
2) $9 = c - 1\frac{1}{2}$
Add $1\frac{1}{2}$ to both sides:
$c = 9 + 1\frac{1}{2} = 10\frac{1}{2}$
3) $\frac{6}{7} = q - 5\frac{2}{7}$
Add $5\frac{2}{7}$ to both sides:
$q = \frac{6}{7} + 5\frac{2}{7} = 6\frac{1}{7}$
4) $\frac{3}{8} = \frac{r}{(-\frac{2}{3})}$
Multiply both sides by $-\frac{2}{3}$:
$r = \frac{3}{8} \cdot (-\frac{2}{3}) = -\frac{1}{4}$
5) $v - \frac{2}{3} = -\frac{3}{4}$
Add $\frac{2}{3}$ to both sides:
$v = -\frac{3}{4} + \frac{2}{3} = -\frac{9}{12} + \frac{8}{12} = -\frac{1}{12}$
6) $s = m - \frac{2}{5}$
Add $\frac{2}{5}$ to both sides:
$m = s + \frac{2}{5}$
7) $\frac{1}{12}t = \frac{4}{9}$
Multiply both sides by 12:
$t = \frac{4}{9} \cdot 12 = \frac{48}{9} = \frac{16}{3} = 5\frac{1}{3}$
8) $4\frac{1}{2}y = \frac{1}{8}$
Convert $4\frac{1}{2}$ to $\frac{9}{2}$, then multiply both sides by $\frac{2}{9}$:
$y = \frac{1}{8} \cdot \frac{2}{9} = \frac{2}{72} = \frac{1}{36}$
9) $u - \frac{3}{2} = \frac{2}{5}$
Add $\frac{3}{2}$ to both sides:
$u = \frac{2}{5} + \frac{3}{2} = \frac{4}{10} + \frac{15}{10} = \frac{19}{10} = 1\frac{9}{10}$
10) $\frac{5}{7} = h + \frac{3}{7}$
Subtract $\frac{3}{7}$ from both sides:
$h = \frac{5}{7} - \frac{3}{7} = \frac{2}{7}$
Parent Tip: Review the logic above to help your child master the concept of solving equations worksheet printable.
