\({4 \over 9x}-{2 \over 9x}={2 \over 9x}\)

\({2 \over a}+{3 \over 4a}={8 \over 4a}+{3 \over 4a}={11 \over 4a}\)

\({3 \over 5x}+{9 \over 8y}={24y \over 40xy}+{45x \over 40xy}={24y+45x \over 40xy}\)

\(8-{3 \over 7a}={8 \over 1}-{3 \over 7a}={56a \over 7a}-{3 \over 7a}={56a-3 \over 7a}\)

\({8p \over q}+{5 \over 9q}={72p \over 9q}+{5 \over 9q}={72p+5 \over 9q}\)

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

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

\({10p \over -35p}=-\frac{2}{7}\)

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

\({32ab \over 36ac}={8b \over 9c}\)

\({-25y \over -30xy}={5 \over 6x}\)

\({-15abc \over -3bc}=5a\)

\({4pq \over q}-{5pr \over r}=4p-5p=-p\)

\(3x+{9 \over 4x}={3x \over 1}⋅{4x \over 4x}+{9 \over 4x}={12x^2 \over 4x}+{9 \over 4x}={12x^2+9 \over 4x}\)

\({4b \over 2a}+{9a \over 6b}={12b^2 \over 6ab}+{9a^2 \over 6ab}={9a^2+12b^2 \over 6ab}={3a^2+4b^2 \over 2ab}\)

\({4 \over x}⋅{3 \over y}={12 \over xy}\)

\({a \over 4}⋅-{8 \over b}=-{8a \over 4b}=-{2a \over b}\)

\({7 \over 3}⋅p={7p \over 3}\)

\({8b \over a}⋅{a-9 \over 2}={8b(a-9) \over 2a}={4b(a-9) \over a}={4ab-36b \over a}\)

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

\(-{3 \over 5}:a=-{3 \over 5}:{a \over 1}=-{3 \over 5}⋅{1 \over a}=-{3 \over 5a}\)

\({9 \over 7}:{p-5q \over q}={9 \over 7}⋅{q \over p-5q}={9q \over 7(p-5q)}={9q \over 7p-35q}\)

\({3x \over 4}+{x+8 \over 9}={27x \over 36}+{4(x+8) \over 36}={27x+4(x+8) \over 36}={31x+32 \over 36}\)

\({7x+8 \over -3x+2}-4={7x+8 \over -3x+2}+{-4(-3x+2) \over -3x+2}={7x+8-4(-3x+2) \over -3x+2}={7x+8+12x-8 \over -3x+2}={19x \over -3x+2}\)

\({7x^2+4x-9 \over 8x^2}={7x^2 \over 8x^2}+{4x \over 8x^2}-{9 \over 8x^2}=\frac{7}{8}+{1 \over 2x}-{9 \over 8x^2}\)