\({9 \over 8a}-{3 \over 8a}={6 \over 8a}={3 \over 4a}\)

\({7 \over x}-{8 \over 3x}={21 \over 3x}-{8 \over 3x}={13 \over 3x}\)

\({7 \over 2x}-{6 \over 9y}={63y \over 18xy}-{12x \over 18xy}={63y-12x \over 18xy}={21y-4x \over 6xy}\)

\(8+{5 \over 2p}={8 \over 1}+{5 \over 2p}={16p \over 2p}+{5 \over 2p}={16p+5 \over 2p}\)

\({9a \over b}+{7 \over 8b}={72a \over 8b}+{7 \over 8b}={72a+7 \over 8b}\)

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

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

\({-12p \over 15p}=-\frac{4}{5}\)

\({16x \over -4x}=-4\)

\({10ab \over 25ac}={2b \over 5c}\)

\({-10y \over -45xy}={2 \over 9x}\)

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

\({2pq \over q}-{4pr \over r}=2p-4p=-2p\)

\(7x+{3 \over 5x}={7x \over 1}⋅{5x \over 5x}+{3 \over 5x}={35x^2 \over 5x}+{3 \over 5x}={35x^2+3 \over 5x}\)

\({2y \over 7x}+{3x \over 4y}={8y^2 \over 28xy}+{21x^2 \over 28xy}={21x^2+8y^2 \over 28xy}\)

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

\({p \over 4}⋅{9 \over q}={9p \over 4q}\)

\(-{1 \over 4}⋅a=-{a \over 4}\)

\({7q \over p}⋅{p-8 \over 4}={7q(p-8) \over 4p}={7pq-56q \over 4p}\)

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

\({2 \over 7}:x={2 \over 7}:{x \over 1}={2 \over 7}⋅{1 \over x}={2 \over 7x}\)

\(-{9 \over 5}:{a-3b \over b}=-{9 \over 5}⋅{b \over a-3b}=-{9b \over 5(a-3b)}=-{9b \over 5a-15b}\)

\({6x \over 7}+{x-8 \over 3}={18x \over 21}+{7(x-8) \over 21}={18x+7(x-8) \over 21}={25x-56 \over 21}\)

\({-9a-2 \over 3a-8}+1={-9a-2 \over 3a-8}+{1(3a-8) \over 3a-8}={-9a-2+1(3a-8) \over 3a-8}={-9a-2+3a-8 \over 3a-8}={-6a-10 \over 3a-8}\)

\({2x^2+x+30 \over x}={2x^2 \over x}+{x \over x}+{30 \over x}=2x+1+{30 \over x}\)

\({9a^2+6a+7 \over 3a^2}={9a^2 \over 3a^2}+{6a \over 3a^2}+{7 \over 3a^2}=3+{2 \over a}+{7 \over 3a^2}\)