\({2 \over 9x}-{3 \over 9x}=-{1 \over 9x}\)

\({8 \over x}+{7 \over 4x}={32 \over 4x}+{7 \over 4x}={39 \over 4x}\)

\({9 \over 3a}-{5 \over 6b}={18b \over 6ab}-{5a \over 6ab}={18b-5a \over 6ab}\)

\(4+{8 \over 5p}={4 \over 1}+{8 \over 5p}={20p \over 5p}+{8 \over 5p}={20p+8 \over 5p}\)

\({4a \over b}+{2 \over 7b}={28a \over 7b}+{2 \over 7b}={28a+2 \over 7b}\)

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

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

\({-16a \over -36a}=\frac{4}{9}\)

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

\({25xy \over 30xz}={5y \over 6z}\)

\({15y \over 35xy}={3 \over 7x}\)

\({15abc \over 3bc}=5a\)

\({5xy \over y}-{2xz \over z}=5x-2x=3x\)

\(3a-{5 \over 8a}={3a \over 1}⋅{8a \over 8a}-{5 \over 8a}={24a^2 \over 8a}-{5 \over 8a}={24a^2-5 \over 8a}\)

\({4q \over 9p}+{8p \over 5q}={20q^2 \over 45pq}+{72p^2 \over 45pq}={72p^2+20q^2 \over 45pq}\)

\({7 \over x}⋅-{2 \over y}=-{14 \over xy}\)

\({x \over 5}⋅-{9 \over y}=-{9x \over 5y}\)

\({3 \over 2}⋅a={3a \over 2}\)

\({8y \over x}⋅{x-5 \over 3}={8y(x-5) \over 3x}={8xy-40y \over 3x}\)

\({6 \over a}:{3 \over b}={6 \over a}⋅{b \over 3}={6b \over 3a}={2b \over a}\)

\(-{8 \over 5}:x=-{8 \over 5}:{x \over 1}=-{8 \over 5}⋅{1 \over x}=-{8 \over 5x}\)

\({5 \over 7}:{p-6q \over q}={5 \over 7}⋅{q \over p-6q}={5q \over 7(p-6q)}={5q \over 7p-42q}\)

\({7a \over 6}+{a-4 \over 5}={35a \over 30}+{6(a-4) \over 30}={35a+6(a-4) \over 30}={41a-24 \over 30}\)

\({9p-7 \over -6p+8}+1={9p-7 \over -6p+8}-{-1(-6p+8) \over -6p+8}={9p-7+1(-6p+8) \over -6p+8}={9p-7-6p+8 \over -6p+8}={3p+1 \over -6p+8}\)

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

\({8x^2-2x+3 \over 9x^2}={8x^2 \over 9x^2}-{2x \over 9x^2}+{3 \over 9x^2}=\frac{8}{9}-{2 \over 9x}+{1 \over 3x^2}\)