\({5 \over 9a}+{6 \over 9a}={11 \over 9a}\)

\({7 \over p}-{3 \over 4p}={28 \over 4p}-{3 \over 4p}={25 \over 4p}\)

\({9 \over 7x}-{5 \over 4y}={36y \over 28xy}-{35x \over 28xy}={36y-35x \over 28xy}\)

\(4-{7 \over 6a}={4 \over 1}-{7 \over 6a}={24a \over 6a}-{7 \over 6a}={24a-7 \over 6a}\)

\({8x \over y}-{6 \over 2y}={16x \over 2y}-{6 \over 2y}={16x-6 \over 2y}={8x-3 \over y}\)

\({8a \over a}={8 \over 1}=8\)

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

\({15x \over -20x}=-\frac{3}{4}\)

\({35a \over -5a}=-7\)

\({15xy \over 20xz}={3y \over 4z}\)

\({24b \over -28ab}=-{6 \over 7a}\)

\({16xyz \over 4yz}=4x\)

\({5pq \over q}+{6pr \over r}=5p+6p=11p\)

\(2a+{4 \over 9a}={2a \over 1}⋅{9a \over 9a}+{4 \over 9a}={18a^2 \over 9a}+{4 \over 9a}={18a^2+4 \over 9a}\)

\({9b \over 6a}-{5a \over 3b}={9b^2 \over 6ab}-{10a^2 \over 6ab}={-10a^2+9b^2 \over 6ab}\)

\({7 \over p}⋅{9 \over q}={63 \over pq}\)

\({x \over 6}⋅-{8 \over y}=-{8x \over 6y}=-{4x \over 3y}\)

\(-{6 \over 7}⋅x=-{6x \over 7}\)

\({6b \over a}⋅{a-4 \over 7}={6b(a-4) \over 7a}={6ab-24b \over 7a}\)

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

\(-{9 \over 8}:x=-{9 \over 8}:{x \over 1}=-{9 \over 8}⋅{1 \over x}=-{9 \over 8x}\)

\({7 \over 9}:{p-5q \over q}={7 \over 9}⋅{q \over p-5q}={7q \over 9(p-5q)}={7q \over 9p-45q}\)

\({7x \over 2}+{x+8 \over 9}={63x \over 18}+{2(x+8) \over 18}={63x+2(x+8) \over 18}={65x+16 \over 18}\)

\({-5p-3 \over -9p-2}+4={-5p-3 \over -9p-2}-{-4(-9p-2) \over -9p-2}={-5p-3+4(-9p-2) \over -9p-2}={-5p-3-36p-8 \over -9p-2}={-41p-11 \over -9p-2}\)

\({6a^2+2a-40 \over 2a}={6a^2 \over 2a}+{2a \over 2a}-{40 \over 2a}=3a+1-{20 \over a}\)

\({p^2-6p+9 \over 7p^2}={p^2 \over 7p^2}-{6p \over 7p^2}+{9 \over 7p^2}=\frac{1}{7}-{6 \over 7p}+{9 \over 7p^2}\)