\({4 \over 3x}+{8 \over 3x}={12 \over 3x}={4 \over x}\)

\({3 \over a}+{2 \over 6a}={18 \over 6a}+{2 \over 6a}={20 \over 6a}={10 \over 3a}\)

\({2 \over 5x}-{3 \over 8y}={16y \over 40xy}-{15x \over 40xy}={16y-15x \over 40xy}\)

\(9-{7 \over 6p}={9 \over 1}-{7 \over 6p}={54p \over 6p}-{7 \over 6p}={54p-7 \over 6p}\)

\(3a-{4 \over 7a}={3a \over 1}⋅{7a \over 7a}-{4 \over 7a}={21a^2 \over 7a}-{4 \over 7a}={21a^2-4 \over 7a}\)

\({6a \over b}-{5 \over 9b}={54a \over 9b}-{5 \over 9b}={54a-5 \over 9b}\)

\({4y \over 7x}-{2x \over 6y}={24y^2 \over 42xy}-{14x^2 \over 42xy}={-14x^2+24y^2 \over 42xy}={-7x^2+12y^2 \over 21xy}\)

\({2p \over p}={2 \over 1}=2\)

\({x \over 2x}={1 \over 2}\)

\({28a \over 36a}=\frac{7}{9}\)

\({24p \over -4p}=-6\)

\({15xy \over 21xz}={5y \over 7z}\)

\({16b \over -18ab}=-{8 \over 9a}\)

\({12abc \over -4bc}=-3a\)

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

\({9 \over a}⋅-{6 \over b}=-{54 \over ab}\)

\({x \over 5}⋅{8 \over y}={8x \over 5y}\)

\({8 \over 9}⋅p={8p \over 9}\)

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

\({3 \over 5}:a={3 \over 5}:{a \over 1}={3 \over 5}⋅{1 \over a}={3 \over 5a}\)

\({9a \over 8}+{a+7 \over 3}={27a \over 24}+{8(a+7) \over 24}={27a+8(a+7) \over 24}={35a+56 \over 24}\)

\({3b \over a}⋅{a-4 \over 7}={3b(a-4) \over 7a}={3ab-12b \over 7a}\)

\(-{3 \over 4}:{a+7b \over b}=-{3 \over 4}⋅{b \over a+7b}=-{3b \over 4(a+7b)}=-{3b \over 4a+28b}\)

\({3a^2+6a-90 \over 3a}={3a^2 \over 3a}+{6a \over 3a}-{90 \over 3a}=a+2-{30 \over a}\)

\({5a^2-4a-2 \over 7a^2}={5a^2 \over 7a^2}-{4a \over 7a^2}-{2 \over 7a^2}=\frac{5}{7}-{4 \over 7a}-{2 \over 7a^2}\)