Q:

Solve 14/24 + 12/18

Accepted Solution

A:

Solution variant #1.

Cancel $\frac{12}{18}:{\quad}\frac{2}{3}$
$=\frac{7}{12}+\frac{2}{3}$
Cancel $\frac{14}{24}:{\quad}\frac{7}{12}$
$=\frac{7}{12}+\frac{12}{18}$ $=\frac{7}{12}+\frac{8}{12}$
Apply the fraction rule $\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$
$=\frac{7+8}{12}$
Add the numbers: $ 7+8=15$
$=\frac{15}{12}$
Cancel $\frac{15}{12}:{\quad}\frac{5}{4}$
$=\frac{5}{4}$