\({7 \over 6x}+{2 \over 6x}={9 \over 6x}={3 \over 2x}\)

\({7 \over a}+{2 \over 4a}={28 \over 4a}+{2 \over 4a}={30 \over 4a}={15 \over 2a}\)

\({4 \over 9p}+{5 \over 8q}={32q \over 72pq}+{45p \over 72pq}={32q+45p \over 72pq}\)

\(9+{5 \over 4a}={9 \over 1}+{5 \over 4a}={36a \over 4a}+{5 \over 4a}={36a+5 \over 4a}\)

\(5x+{9 \over 8x}={5x \over 1}⋅{8x \over 8x}+{9 \over 8x}={40x^2 \over 8x}+{9 \over 8x}={40x^2+9 \over 8x}\)

\({9x \over y}+{2 \over 4y}={36x \over 4y}+{2 \over 4y}={36x+2 \over 4y}={18x+1 \over 2y}\)

\({3q \over 2p}-{9p \over 8q}={12q^2 \over 8pq}-{9p^2 \over 8pq}={-9p^2+12q^2 \over 8pq}\)

\({8a \over a}={8 \over 1}=8\)

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

\({-20a \over -28a}=\frac{5}{7}\)

\({30x \over 5x}=6\)

\({32pq \over 36pr}={8q \over 9r}\)

\({10y \over -25xy}=-{2 \over 5x}\)

\({-21abc \over -3bc}=7a\)

\({3ab \over b}-{7ac \over c}=3a-7a=-4a\)

\({8 \over x}⋅-{4 \over y}=-{32 \over xy}\)

\({p \over 5}⋅-{7 \over q}=-{7p \over 5q}\)

\({9 \over 2}⋅a={9a \over 2}\)

\({8 \over a}:{2 \over b}={8 \over a}⋅{b \over 2}={8b \over 2a}={4b \over a}\)

\(-{1 \over 2}:x=-{1 \over 2}:{x \over 1}=-{1 \over 2}⋅{1 \over x}=-{1 \over 2x}\)

\({5p \over 6}+{p+2 \over 7}={35p \over 42}+{6(p+2) \over 42}={35p+6(p+2) \over 42}={41p+12 \over 42}\)

\({4 \over 9}:{x+8y \over y}={4 \over 9}⋅{y \over x+8y}={4y \over 9(x+8y)}={4y \over 9x+72y}\)

\({6a-9 \over 7a-4}+8={6a-9 \over 7a-4}+{8(7a-4) \over 7a-4}={6a-9+8(7a-4) \over 7a-4}={6a-9+56a-32 \over 7a-4}={62a-41 \over 7a-4}\)