\({7 \over 2x}-{3 \over 2x}={4 \over 2x}={2 \over x}\)

\({2 \over a}+{5 \over 3a}={6 \over 3a}+{5 \over 3a}={11 \over 3a}\)

\({6 \over 4a}-{8 \over 3b}={18b \over 12ab}-{32a \over 12ab}={18b-32a \over 12ab}={9b-16a \over 6ab}\)

\(9-{5 \over 2x}={9 \over 1}-{5 \over 2x}={18x \over 2x}-{5 \over 2x}={18x-5 \over 2x}\)

\(7p+{2 \over 5p}={7p \over 1}⋅{5p \over 5p}+{2 \over 5p}={35p^2 \over 5p}+{2 \over 5p}={35p^2+2 \over 5p}\)

\({3a \over b}+{8 \over 2b}={6a \over 2b}+{8 \over 2b}={6a+8 \over 2b}={3a+4 \over b}\)

\({7y \over 2x}-{5x \over 3y}={21y^2 \over 6xy}-{10x^2 \over 6xy}={-10x^2+21y^2 \over 6xy}\)

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

\({a \over 4a}={1 \over 4}\)

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

\({27p \over 3p}=9\)

\({4ab \over -10ac}=-{2b \over 5c}\)

\({10b \over 12ab}={5 \over 6a}\)

\({6xyz \over -3yz}=-2x\)

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

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

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

\(-{7 \over 9}⋅p=-{7p \over 9}\)

\({3 \over x}:{8 \over y}={3 \over x}⋅{y \over 8}={3y \over 8x}\)

\({7 \over 4}:a={7 \over 4}:{a \over 1}={7 \over 4}⋅{1 \over a}={7 \over 4a}\)

\({2a \over 3}+{a-9 \over 8}={16a \over 24}+{3(a-9) \over 24}={16a+3(a-9) \over 24}={19a-27 \over 24}\)

\({-5p-7 \over 3p+1}-8={-5p-7 \over 3p+1}-{8(3p+1) \over 3p+1}={-5p-7-8(3p+1) \over 3p+1}={-5p-7-24p-8 \over 3p+1}={-29p-15 \over 3p+1}\)

\({3x^2-x-20 \over x}={3x^2 \over x}-{x \over x}-{20 \over x}=3x-1-{20 \over x}\)

\({4a^2+a-7 \over 8a^2}={4a^2 \over 8a^2}+{a \over 8a^2}-{7 \over 8a^2}=\frac{1}{2}+{1 \over 8a}-{7 \over 8a^2}\)