\({8 \over 3x}+{7 \over 3x}={15 \over 3x}={5 \over x}\)

\({4 \over p}-{5 \over 9p}={36 \over 9p}-{5 \over 9p}={31 \over 9p}\)

\({7 \over 4a}-{6 \over 5b}={35b \over 20ab}-{24a \over 20ab}={35b-24a \over 20ab}\)

\(4+{5 \over 2a}={4 \over 1}+{5 \over 2a}={8a \over 2a}+{5 \over 2a}={8a+5 \over 2a}\)

\(9x-{6 \over 7x}={9x \over 1}⋅{7x \over 7x}-{6 \over 7x}={63x^2 \over 7x}-{6 \over 7x}={63x^2-6 \over 7x}\)

\({2x \over y}+{9 \over 6y}={12x \over 6y}+{9 \over 6y}={12x+9 \over 6y}={4x+3 \over 2y}\)

\({8b \over 3a}+{9a \over 7b}={56b^2 \over 21ab}+{27a^2 \over 21ab}={27a^2+56b^2 \over 21ab}\)

\({6x \over x}={6 \over 1}=6\)

\({a \over 6a}={1 \over 6}\)

\({10p \over -45p}=-\frac{2}{9}\)

\({-18x \over 3x}=-6\)

\({4xy \over 6xz}={2y \over 3z}\)

\({-8b \over 14ab}=-{4 \over 7a}\)

\({10abc \over -5bc}=-2a\)

\({5pq \over q}+{3pr \over r}=5p+3p=8p\)

\({9 \over p}⋅{5 \over q}={45 \over pq}\)

\({x \over 6}⋅-{9 \over y}=-{9x \over 6y}=-{3x \over 2y}\)

\({5 \over 3}⋅x={5x \over 3}\)

\({7 \over a}:{8 \over b}={7 \over a}⋅{b \over 8}={7b \over 8a}\)

\({4 \over 3}:a={4 \over 3}:{a \over 1}={4 \over 3}⋅{1 \over a}={4 \over 3a}\)

\({7a \over 8}+{a+1 \over 9}={63a \over 72}+{8(a+1) \over 72}={63a+8(a+1) \over 72}={71a+8 \over 72}\)

\({5q \over p}⋅{p-6 \over 9}={5q(p-6) \over 9p}={5pq-30q \over 9p}\)

\({8 \over 5}:{a-2b \over b}={8 \over 5}⋅{b \over a-2b}={8b \over 5(a-2b)}={8b \over 5a-10b}\)

\({2a^2-a-30 \over a}={2a^2 \over a}-{a \over a}-{30 \over a}=2a-1-{30 \over a}\)

\({4a^2+3a+2 \over 8a^2}={4a^2 \over 8a^2}+{3a \over 8a^2}+{2 \over 8a^2}=\frac{1}{2}+{3 \over 8a}+{1 \over 4a^2}\)