\({2 \over 6a}-{9 \over 6a}=-{7 \over 6a}\)

\({9 \over x}-{3 \over 7x}={63 \over 7x}-{3 \over 7x}={60 \over 7x}\)

\({8 \over 6a}-{3 \over 7b}={56b \over 42ab}-{18a \over 42ab}={56b-18a \over 42ab}={28b-9a \over 21ab}\)

\(2+{4 \over 9x}={2 \over 1}+{4 \over 9x}={18x \over 9x}+{4 \over 9x}={18x+4 \over 9x}\)

\({6p \over q}-{7 \over 5q}={30p \over 5q}-{7 \over 5q}={30p-7 \over 5q}\)

\({3a \over a}={3 \over 1}=3\)

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

\({-12x \over 32x}=-\frac{3}{8}\)

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

\({8ab \over -12ac}=-{2b \over 3c}\)

\({-6b \over -14ab}={3 \over 7a}\)

\({-8xyz \over 4yz}=-2x\)

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

\(2a-{3 \over 8a}={2a \over 1}⋅{8a \over 8a}-{3 \over 8a}={16a^2 \over 8a}-{3 \over 8a}={16a^2-3 \over 8a}\)

\({7y \over 3x}+{9x \over 5y}={35y^2 \over 15xy}+{27x^2 \over 15xy}={27x^2+35y^2 \over 15xy}\)

\({8 \over p}⋅-{4 \over q}=-{32 \over pq}\)

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

\({2 \over 7}⋅a={2a \over 7}\)

\({2b \over a}⋅{a-9 \over 6}={2b(a-9) \over 6a}={b(a-9) \over 3a}={ab-9b \over 3a}\)

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

\({4 \over 3}:x={4 \over 3}:{x \over 1}={4 \over 3}⋅{1 \over x}={4 \over 3x}\)

\(-{1 \over 6}:{x-2y \over y}=-{1 \over 6}⋅{y \over x-2y}=-{y \over 6(x-2y)}=-{y \over 6x-12y}\)

\({9p \over 5}+{p+6 \over 8}={72p \over 40}+{5(p+6) \over 40}={72p+5(p+6) \over 40}={77p+30 \over 40}\)

\({2p+7 \over -9p+8}+1={2p+7 \over -9p+8}-{-1(-9p+8) \over -9p+8}={2p+7+1(-9p+8) \over -9p+8}={2p+7-9p+8 \over -9p+8}={-7p+15 \over -9p+8}\)

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