\({9 \over 6a}+{8 \over 6a}={17 \over 6a}\)

\({5 \over x}+{3 \over 6x}={30 \over 6x}+{3 \over 6x}={33 \over 6x}={11 \over 2x}\)

\({4 \over 2x}+{9 \over 7y}={28y \over 14xy}+{18x \over 14xy}={28y+18x \over 14xy}={14y+9x \over 7xy}\)

\(4-{3 \over 2p}={4 \over 1}-{3 \over 2p}={8p \over 2p}-{3 \over 2p}={8p-3 \over 2p}\)

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

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

\({a \over 5a}={1 \over 5}\)

\({15a \over -27a}=-\frac{5}{9}\)

\({24x \over 3x}=8\)

\({-35xy \over 40xz}=-{7y \over 8z}\)

\({6b \over -10ab}=-{3 \over 5a}\)

\({14xyz \over -2yz}=-7x\)

\({7xy \over y}-{2xz \over z}=7x-2x=5x\)

\(8p+{7 \over 5p}={8p \over 1}⋅{5p \over 5p}+{7 \over 5p}={40p^2 \over 5p}+{7 \over 5p}={40p^2+7 \over 5p}\)

\({4b \over 3a}-{9a \over 5b}={20b^2 \over 15ab}-{27a^2 \over 15ab}={-27a^2+20b^2 \over 15ab}\)

\({9 \over a}⋅-{3 \over b}=-{27 \over ab}\)

\({x \over 6}⋅-{5 \over y}=-{5x \over 6y}\)

\({3 \over 7}⋅x={3x \over 7}\)

\({9q \over p}⋅{p+5 \over 8}={9q(p+5) \over 8p}={9pq+45q \over 8p}\)

\({5 \over a}:{6 \over b}={5 \over a}⋅{b \over 6}={5b \over 6a}\)

\(-{2 \over 9}:a=-{2 \over 9}:{a \over 1}=-{2 \over 9}⋅{1 \over a}=-{2 \over 9a}\)

\(-{4 \over 3}:{x-9y \over y}=-{4 \over 3}⋅{y \over x-9y}=-{4y \over 3(x-9y)}=-{4y \over 3x-27y}\)

\({8x \over 3}+{x+5 \over 7}={56x \over 21}+{3(x+5) \over 21}={56x+3(x+5) \over 21}={59x+15 \over 21}\)

\({-8x+1 \over 4x-2}+9={-8x+1 \over 4x-2}+{9(4x-2) \over 4x-2}={-8x+1+9(4x-2) \over 4x-2}={-8x+1+36x-18 \over 4x-2}={28x-17 \over 4x-2}\)

\({9a^2-6a-30 \over 3a}={9a^2 \over 3a}-{6a \over 3a}-{30 \over 3a}=3a-2-{10 \over a}\)

\({9p^2-p+3 \over 2p^2}={9p^2 \over 2p^2}-{p \over 2p^2}+{3 \over 2p^2}=4\frac{1}{2}-{1 \over 2p}+{3 \over 2p^2}\)