\({2 \over 3a}+{9 \over 3a}={11 \over 3a}\)

\({6 \over x}-{8 \over 4x}={24 \over 4x}-{8 \over 4x}={16 \over 4x}={4 \over x}\)

\({4 \over 6x}-{3 \over 7y}={28y \over 42xy}-{18x \over 42xy}={28y-18x \over 42xy}={14y-9x \over 21xy}\)

\(4-{7 \over 9a}={4 \over 1}-{7 \over 9a}={36a \over 9a}-{7 \over 9a}={36a-7 \over 9a}\)

\(4p-{5 \over 8p}={4p \over 1}⋅{8p \over 8p}-{5 \over 8p}={32p^2 \over 8p}-{5 \over 8p}={32p^2-5 \over 8p}\)

\({3a \over b}-{4 \over 9b}={27a \over 9b}-{4 \over 9b}={27a-4 \over 9b}\)

\({8q \over 6p}-{2p \over 7q}={56q^2 \over 42pq}-{12p^2 \over 42pq}={-12p^2+56q^2 \over 42pq}={-6p^2+28q^2 \over 21pq}\)

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

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

\({-32a \over -36a}=\frac{8}{9}\)

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

\({-40pq \over -45pr}={8q \over 9r}\)

\({-6y \over 21xy}=-{2 \over 7x}\)

\({-28abc \over -4bc}=7a\)

\({7xy \over y}+{5xz \over z}=7x+5x=12x\)

\({4 \over x}⋅-{3 \over y}=-{12 \over xy}\)

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

\(-{9 \over 5}⋅a=-{9a \over 5}\)

\({2 \over a}:{3 \over b}={2 \over a}⋅{b \over 3}={2b \over 3a}\)

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

\({3x \over 8}+{x-6 \over 5}={15x \over 40}+{8(x-6) \over 40}={15x+8(x-6) \over 40}={23x-48 \over 40}\)

\({4x+8 \over 5x-1}-7={4x+8 \over 5x-1}-{7(5x-1) \over 5x-1}={4x+8-7(5x-1) \over 5x-1}={4x+8-35x+7 \over 5x-1}={-31x+15 \over 5x-1}\)

\({9a^2+3a+60 \over 3a}={9a^2 \over 3a}+{3a \over 3a}+{60 \over 3a}=3a+1+{20 \over a}\)

\({7x^2-x-6 \over 4x^2}={7x^2 \over 4x^2}-{x \over 4x^2}-{6 \over 4x^2}=1\frac{3}{4}-{1 \over 4x}-{3 \over 2x^2}\)