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

\({7 \over a}-{5 \over 6a}={42 \over 6a}-{5 \over 6a}={37 \over 6a}\)

\({3 \over 2a}-{7 \over 4b}={6b \over 4ab}-{7a \over 4ab}={6b-7a \over 4ab}\)

\(8+{7 \over 3p}={8 \over 1}+{7 \over 3p}={24p \over 3p}+{7 \over 3p}={24p+7 \over 3p}\)

\({5x \over y}+{8 \over 4y}={20x \over 4y}+{8 \over 4y}={20x+8 \over 4y}={5x+2 \over y}\)

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

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

\({15p \over 25p}=\frac{3}{5}\)

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

\({-10xy \over -14xz}={5y \over 7z}\)

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

\({4pqr \over 2qr}=2p\)

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

\(6x+{4 \over 3x}={6x \over 1}⋅{3x \over 3x}+{4 \over 3x}={18x^2 \over 3x}+{4 \over 3x}={18x^2+4 \over 3x}\)

\({3q \over 4p}+{6p \over 5q}={15q^2 \over 20pq}+{24p^2 \over 20pq}={24p^2+15q^2 \over 20pq}\)

\({5 \over a}⋅-{8 \over b}=-{40 \over ab}\)

\({x \over 4}⋅{8 \over y}={8x \over 4y}={2x \over y}\)

\({1 \over 9}⋅a={a \over 9}\)

\({2b \over a}⋅{a-9 \over 8}={2b(a-9) \over 8a}={b(a-9) \over 4a}={ab-9b \over 4a}\)

\({4 \over x}:{6 \over y}={4 \over x}⋅{y \over 6}={4y \over 6x}={2y \over 3x}\)

\({8 \over 3}:p={8 \over 3}:{p \over 1}={8 \over 3}⋅{1 \over p}={8 \over 3p}\)

\({3 \over 8}:{x+7y \over y}={3 \over 8}⋅{y \over x+7y}={3y \over 8(x+7y)}={3y \over 8x+56y}\)

\({3a \over 8}+{a-7 \over 5}={15a \over 40}+{8(a-7) \over 40}={15a+8(a-7) \over 40}={23a-56 \over 40}\)

\({8x-5 \over -6x+4}-2={8x-5 \over -6x+4}+{-2(-6x+4) \over -6x+4}={8x-5-2(-6x+4) \over -6x+4}={8x-5+12x-8 \over -6x+4}={20x-13 \over -6x+4}\)

\({2x^2+6x+40 \over 2x}={2x^2 \over 2x}+{6x \over 2x}+{40 \over 2x}=x+3+{20 \over x}\)

\({4a^2-8a-2 \over a^2}={4a^2 \over a^2}-{8a \over a^2}-{2 \over a^2}=4-{8 \over a}-{2 \over a^2}\)