\({4 \over 9a}-{6 \over 9a}=-{2 \over 9a}\)

\({3 \over p}+{4 \over 7p}={21 \over 7p}+{4 \over 7p}={25 \over 7p}\)

\({7 \over 5x}-{2 \over 9y}={63y \over 45xy}-{10x \over 45xy}={63y-10x \over 45xy}\)

\(9-{3 \over 5x}={9 \over 1}-{3 \over 5x}={45x \over 5x}-{3 \over 5x}={45x-3 \over 5x}\)

\(4a+{3 \over 7a}={4a \over 1}⋅{7a \over 7a}+{3 \over 7a}={28a^2 \over 7a}+{3 \over 7a}={28a^2+3 \over 7a}\)

\({4a \over b}+{2 \over 5b}={20a \over 5b}+{2 \over 5b}={20a+2 \over 5b}\)

\({4y \over 2x}+{3x \over 5y}={20y^2 \over 10xy}+{6x^2 \over 10xy}={6x^2+20y^2 \over 10xy}={3x^2+10y^2 \over 5xy}\)

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

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

\({-10x \over -14x}=\frac{5}{7}\)

\({-36a \over 4a}=-9\)

\({-12ab \over 21ac}=-{4b \over 7c}\)

\({-21q \over 24pq}=-{7 \over 8p}\)

\({-12xyz \over 2yz}=-6x\)

\({6xy \over y}-{3xz \over z}=6x-3x=3x\)

\({6 \over p}⋅{2 \over q}={12 \over pq}\)

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

\({2 \over 7}⋅a={2a \over 7}\)

\({4 \over a}:{5 \over b}={4 \over a}⋅{b \over 5}={4b \over 5a}\)

\({5 \over 8}:x={5 \over 8}:{x \over 1}={5 \over 8}⋅{1 \over x}={5 \over 8x}\)

\({6x \over 5}+{x+4 \over 8}={48x \over 40}+{5(x+4) \over 40}={48x+5(x+4) \over 40}={53x+20 \over 40}\)

\({7q \over p}⋅{p+3 \over 5}={7q(p+3) \over 5p}={7pq+21q \over 5p}\)

\({6 \over 5}:{a+4b \over b}={6 \over 5}⋅{b \over a+4b}={6b \over 5(a+4b)}={6b \over 5a+20b}\)

\({4x^2-6x+20 \over 2x}={4x^2 \over 2x}-{6x \over 2x}+{20 \over 2x}=2x-3+{10 \over x}\)

\({9x^2-5x-2 \over 8x^2}={9x^2 \over 8x^2}-{5x \over 8x^2}-{2 \over 8x^2}=1\frac{1}{8}-{5 \over 8x}-{1 \over 4x^2}\)