\({3 \over 2a}+{5 \over 2a}={8 \over 2a}={4 \over a}\)

\({4 \over x}-{9 \over 7x}={28 \over 7x}-{9 \over 7x}={19 \over 7x}\)

\({5 \over 8x}-{3 \over 7y}={35y \over 56xy}-{24x \over 56xy}={35y-24x \over 56xy}\)

\(3-{9 \over 4a}={3 \over 1}-{9 \over 4a}={12a \over 4a}-{9 \over 4a}={12a-9 \over 4a}\)

\({7p \over q}+{2 \over 4q}={28p \over 4q}+{2 \over 4q}={28p+2 \over 4q}={14p+1 \over 2q}\)

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

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

\({-9p \over 24p}=-\frac{3}{8}\)

\({-15a \over 3a}=-5\)

\({4xy \over 14xz}={2y \over 7z}\)

\({20y \over 24xy}={5 \over 6x}\)

\({18xyz \over 2yz}=9x\)

\({3ab \over b}+{2ac \over c}=3a+2a=5a\)

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

\({8b \over 3a}+{4a \over 7b}={56b^2 \over 21ab}+{12a^2 \over 21ab}={12a^2+56b^2 \over 21ab}\)

\({5 \over x}⋅-{4 \over y}=-{20 \over xy}\)

\({p \over 6}⋅{7 \over q}={7p \over 6q}\)

\(-{6 \over 5}⋅a=-{6a \over 5}\)

\({9b \over a}⋅{a+4 \over 3}={9b(a+4) \over 3a}={3b(a+4) \over a}={3ab+12b \over a}\)

\({9 \over a}:{3 \over b}={9 \over a}⋅{b \over 3}={9b \over 3a}={3b \over a}\)

\({9 \over 5}:x={9 \over 5}:{x \over 1}={9 \over 5}⋅{1 \over x}={9 \over 5x}\)

\({7 \over 9}:{p+5q \over q}={7 \over 9}⋅{q \over p+5q}={7q \over 9(p+5q)}={7q \over 9p+45q}\)

\({9x \over 2}+{x-6 \over 3}={27x \over 6}+{2(x-6) \over 6}={27x+2(x-6) \over 6}={29x-12 \over 6}\)

\({-8x-4 \over 5x+1}-3={-8x-4 \over 5x+1}-{3(5x+1) \over 5x+1}={-8x-4-3(5x+1) \over 5x+1}={-8x-4-15x-3 \over 5x+1}={-23x-7 \over 5x+1}\)