\({7 \over 6a}+{8 \over 6a}={15 \over 6a}={5 \over 2a}\)

\({4 \over a}+{3 \over 2a}={8 \over 2a}+{3 \over 2a}={11 \over 2a}\)

\({4 \over 6x}+{5 \over 7y}={28y \over 42xy}+{30x \over 42xy}={28y+30x \over 42xy}={14y+15x \over 21xy}\)

\(6+{5 \over 2p}={6 \over 1}+{5 \over 2p}={12p \over 2p}+{5 \over 2p}={12p+5 \over 2p}\)

\(4x+{5 \over 6x}={4x \over 1}⋅{6x \over 6x}+{5 \over 6x}={24x^2 \over 6x}+{5 \over 6x}={24x^2+5 \over 6x}\)

\({4x \over y}+{5 \over 3y}={12x \over 3y}+{5 \over 3y}={12x+5 \over 3y}\)

\({4b \over 3a}-{7a \over 8b}={32b^2 \over 24ab}-{21a^2 \over 24ab}={-21a^2+32b^2 \over 24ab}\)

\({7a \over a}={7 \over 1}=7\)

\({p \over 7p}={1 \over 7}\)

\({-28x \over 32x}=-\frac{7}{8}\)

\({20a \over -4a}=-5\)

\({14ab \over 18ac}={7b \over 9c}\)

\({16q \over 28pq}={4 \over 7p}\)

\({20xyz \over -4yz}=-5x\)

\({7xy \over y}+{2xz \over z}=7x+2x=9x\)

\({8 \over a}⋅{5 \over b}={40 \over ab}\)

\({p \over 2}⋅-{8 \over q}=-{8p \over 2q}=-{4p \over q}\)

\(-{6 \over 7}⋅x=-{6x \over 7}\)

\({4 \over x}:{7 \over y}={4 \over x}⋅{y \over 7}={4y \over 7x}\)

\({7 \over 2}:a={7 \over 2}:{a \over 1}={7 \over 2}⋅{1 \over a}={7 \over 2a}\)

\({5a \over 7}+{a+3 \over 2}={10a \over 14}+{7(a+3) \over 14}={10a+7(a+3) \over 14}={17a+21 \over 14}\)

\({4q \over p}⋅{p+6 \over 3}={4q(p+6) \over 3p}={4pq+24q \over 3p}\)

\({9 \over 8}:{a-b \over b}={9 \over 8}⋅{b \over a-b}={9b \over 8(a-b)}={9b \over 8a-8b}\)

\({3x^2+2x-10 \over x}={3x^2 \over x}+{2x \over x}-{10 \over x}=3x+2-{10 \over x}\)

\({6p^2+8p-7 \over 9p^2}={6p^2 \over 9p^2}+{8p \over 9p^2}-{7 \over 9p^2}=\frac{2}{3}+{8 \over 9p}-{7 \over 9p^2}\)