\({6 \over 3x}-{9 \over 3x}=-{3 \over 3x}=-{1 \over x}\)

\({3 \over a}-{8 \over 4a}={12 \over 4a}-{8 \over 4a}={4 \over 4a}={1 \over a}\)

\({6 \over 2a}+{4 \over 9b}={54b \over 18ab}+{8a \over 18ab}={54b+8a \over 18ab}={27b+4a \over 9ab}\)

\(5+{9 \over 4x}={5 \over 1}+{9 \over 4x}={20x \over 4x}+{9 \over 4x}={20x+9 \over 4x}\)

\({2p \over q}+{7 \over 9q}={18p \over 9q}+{7 \over 9q}={18p+7 \over 9q}\)

\({7a \over a}={7 \over 1}=7\)

\({x \over 7x}={1 \over 7}\)

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

\({-12a \over -2a}=6\)

\({6pq \over 21pr}={2q \over 7r}\)

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

\({27abc \over -3bc}=-9a\)

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

\(8a-{5 \over 7a}={8a \over 1}⋅{7a \over 7a}-{5 \over 7a}={56a^2 \over 7a}-{5 \over 7a}={56a^2-5 \over 7a}\)

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

\({7 \over a}⋅{8 \over b}={56 \over ab}\)

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

\(-{9 \over 4}⋅x=-{9x \over 4}\)

\({9b \over a}⋅{a+8 \over 2}={9b(a+8) \over 2a}={9ab+72b \over 2a}\)

\({4 \over a}:{6 \over b}={4 \over a}⋅{b \over 6}={4b \over 6a}={2b \over 3a}\)

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

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

\({7x \over 2}+{x+9 \over 5}={35x \over 10}+{2(x+9) \over 10}={35x+2(x+9) \over 10}={37x+18 \over 10}\)

\({-8p+5 \over 3p+6}-1={-8p+5 \over 3p+6}-{1(3p+6) \over 3p+6}={-8p+5-1(3p+6) \over 3p+6}={-8p+5-3p-6 \over 3p+6}={-11p-1 \over 3p+6}\)

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

\({4x^2-7x-2 \over 5x^2}={4x^2 \over 5x^2}-{7x \over 5x^2}-{2 \over 5x^2}=\frac{4}{5}-{7 \over 5x}-{2 \over 5x^2}\)