\({5 \over 3x}+{9 \over 3x}={14 \over 3x}\)

\({2 \over a}-{5 \over 3a}={6 \over 3a}-{5 \over 3a}={1 \over 3a}\)

\({5 \over 8a}+{3 \over 2b}={5b \over 8ab}+{12a \over 8ab}={5b+12a \over 8ab}\)

\(6-{5 \over 9x}={6 \over 1}-{5 \over 9x}={54x \over 9x}-{5 \over 9x}={54x-5 \over 9x}\)

\({3p \over q}-{9 \over 6q}={18p \over 6q}-{9 \over 6q}={18p-9 \over 6q}={6p-3 \over 2q}\)

\({3a \over a}={3 \over 1}=3\)

\({p \over 9p}={1 \over 9}\)

\({14x \over -18x}=-\frac{7}{9}\)

\({32a \over -4a}=-8\)

\({20xy \over 36xz}={5y \over 9z}\)

\({8q \over -18pq}=-{4 \over 9p}\)

\({-12abc \over -3bc}=4a\)

\({3ab \over b}+{2ac \over c}=3a+2a=5a\)

\(5x+{4 \over 9x}={5x \over 1}⋅{9x \over 9x}+{4 \over 9x}={45x^2 \over 9x}+{4 \over 9x}={45x^2+4 \over 9x}\)

\({5y \over 6x}+{8x \over 4y}={10y^2 \over 12xy}+{24x^2 \over 12xy}={24x^2+10y^2 \over 12xy}={12x^2+5y^2 \over 6xy}\)

\({9 \over p}⋅{2 \over q}={18 \over pq}\)

\({a \over 7}⋅-{9 \over b}=-{9a \over 7b}\)

\({8 \over 7}⋅a={8a \over 7}\)

\({8b \over a}⋅{a-6 \over 2}={8b(a-6) \over 2a}={4b(a-6) \over a}={4ab-24b \over a}\)

\({3 \over p}:{2 \over q}={3 \over p}⋅{q \over 2}={3q \over 2p}\)

\({5 \over 8}:x={5 \over 8}:{x \over 1}={5 \over 8}⋅{1 \over x}={5 \over 8x}\)

\(-{7 \over 2}:{a+8b \over b}=-{7 \over 2}⋅{b \over a+8b}=-{7b \over 2(a+8b)}=-{7b \over 2a+16b}\)

\({3x \over 2}+{x+1 \over 7}={21x \over 14}+{2(x+1) \over 14}={21x+2(x+1) \over 14}={23x+2 \over 14}\)