\({2 \over 5x}-{3 \over 5x}=-{1 \over 5x}\)

\({9 \over a}-{4 \over 5a}={45 \over 5a}-{4 \over 5a}={41 \over 5a}\)

\({9 \over 5p}-{4 \over 3q}={27q \over 15pq}-{20p \over 15pq}={27q-20p \over 15pq}\)

\(5+{7 \over 3a}={5 \over 1}+{7 \over 3a}={15a \over 3a}+{7 \over 3a}={15a+7 \over 3a}\)

\({5x \over y}+{2 \over 3y}={15x \over 3y}+{2 \over 3y}={15x+2 \over 3y}\)

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

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

\({14x \over 18x}=\frac{7}{9}\)

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

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

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

\({15xyz \over 3yz}=5x\)

\({6xy \over y}-{4xz \over z}=6x-4x=2x\)

\(3x-{6 \over 7x}={3x \over 1}⋅{7x \over 7x}-{6 \over 7x}={21x^2 \over 7x}-{6 \over 7x}={21x^2-6 \over 7x}\)

\({8y \over 9x}+{4x \over 2y}={16y^2 \over 18xy}+{36x^2 \over 18xy}={36x^2+16y^2 \over 18xy}={18x^2+8y^2 \over 9xy}\)

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

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

\(-{8 \over 7}⋅p=-{8p \over 7}\)

\({6y \over x}⋅{x+9 \over 2}={6y(x+9) \over 2x}={3y(x+9) \over x}={3xy+27y \over x}\)

\({6 \over x}:{5 \over y}={6 \over x}⋅{y \over 5}={6y \over 5x}\)

\(-{4 \over 9}:a=-{4 \over 9}:{a \over 1}=-{4 \over 9}⋅{1 \over a}=-{4 \over 9a}\)

\({5 \over 2}:{a+7b \over b}={5 \over 2}⋅{b \over a+7b}={5b \over 2(a+7b)}={5b \over 2a+14b}\)

\({p \over 6}+{p+2 \over 5}={5p \over 30}+{6(p+2) \over 30}={5p+6(p+2) \over 30}={11p+12 \over 30}\)

\({3a+9 \over 7a-5}-4={3a+9 \over 7a-5}-{4(7a-5) \over 7a-5}={3a+9-4(7a-5) \over 7a-5}={3a+9-28a+20 \over 7a-5}={-25a+29 \over 7a-5}\)

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

\({7x^2+2x+6 \over 4x^2}={7x^2 \over 4x^2}+{2x \over 4x^2}+{6 \over 4x^2}=1\frac{3}{4}+{1 \over 2x}+{3 \over 2x^2}\)