$$- \frac { 7 } { 4 } - ( - \frac { 5 } { 6 } ) + ( - 1 \frac { 1 } { 3 } )$$
$-\frac{9}{4}=-2.25$
$$-\frac{7}{4}+\frac{5}{6}-\frac{1\times 3+1}{3}$$
$$-\frac{21}{12}+\frac{10}{12}-\frac{1\times 3+1}{3}$$
$$\frac{-21+10}{12}-\frac{1\times 3+1}{3}$$
$$-\frac{11}{12}-\frac{1\times 3+1}{3}$$
$$-\frac{11}{12}-\frac{3+1}{3}$$
$$-\frac{11}{12}-\frac{4}{3}$$
$$-\frac{11}{12}-\frac{16}{12}$$
$$\frac{-11-16}{12}$$
$$\frac{-27}{12}$$
$$-\frac{9}{4}$$
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$-\frac{9}{4} = -2\frac{1}{4} = -2.25$