$$\frac { 15 } { 22 } + \frac { 4 } { 9 } + ( \frac { - 15 } { 22 } ) + ( - \frac { 4 } { 9 } )$$
$0$
$$\frac{135}{198}+\frac{88}{198}+\frac{-15}{22}-\frac{4}{9}$$
$$\frac{135+88}{198}+\frac{-15}{22}-\frac{4}{9}$$
$$\frac{223}{198}+\frac{-15}{22}-\frac{4}{9}$$
$$\frac{223}{198}-\frac{15}{22}-\frac{4}{9}$$
$$\frac{223}{198}-\frac{135}{198}-\frac{4}{9}$$
$$\frac{223-135}{198}-\frac{4}{9}$$
$$\frac{88}{198}-\frac{4}{9}$$
$$\frac{4}{9}-\frac{4}{9}$$
$$0$$
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