\({5 \over 9x}+{3 \over 9x}={8 \over 9x}\)

\({2 \over p}-{8 \over 4p}={8 \over 4p}-{8 \over 4p}={0 \over 4p}={0 \over p}\)

\({5 \over 2a}+{8 \over 3b}={15b \over 6ab}+{16a \over 6ab}={15b+16a \over 6ab}\)

\(6+{3 \over 4a}={6 \over 1}+{3 \over 4a}={24a \over 4a}+{3 \over 4a}={24a+3 \over 4a}\)

\({5x \over y}+{9 \over 7y}={35x \over 7y}+{9 \over 7y}={35x+9 \over 7y}\)

\({4a \over a}={4 \over 1}=4\)

\({x \over 4x}={1 \over 4}\)

\({10p \over -18p}=-\frac{5}{9}\)

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

\({-16ab \over 36ac}=-{4b \over 9c}\)

\({20q \over 28pq}={5 \over 7p}\)

\({-45xyz \over 5yz}=-9x\)

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

\(2x+{5 \over 8x}={2x \over 1}⋅{8x \over 8x}+{5 \over 8x}={16x^2 \over 8x}+{5 \over 8x}={16x^2+5 \over 8x}\)

\({2y \over 8x}+{3x \over 5y}={10y^2 \over 40xy}+{24x^2 \over 40xy}={24x^2+10y^2 \over 40xy}={12x^2+5y^2 \over 20xy}\)

\({5 \over a}⋅-{4 \over b}=-{20 \over ab}\)

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

\({3 \over 5}⋅a={3a \over 5}\)

\({3y \over x}⋅{x-2 \over 5}={3y(x-2) \over 5x}={3xy-6y \over 5x}\)

\({4 \over p}:{7 \over q}={4 \over p}⋅{q \over 7}={4q \over 7p}\)

\(-{1 \over 6}:a=-{1 \over 6}:{a \over 1}=-{1 \over 6}⋅{1 \over a}=-{1 \over 6a}\)

\(-{4 \over 5}:{x-2y \over y}=-{4 \over 5}⋅{y \over x-2y}=-{4y \over 5(x-2y)}=-{4y \over 5x-10y}\)

\({8a \over 5}+{a-3 \over 9}={72a \over 45}+{5(a-3) \over 45}={72a+5(a-3) \over 45}={77a-15 \over 45}\)