\({3 \over 7a}-{5 \over 7a}=-{2 \over 7a}\)

\({8 \over p}-{9 \over 2p}={16 \over 2p}-{9 \over 2p}={7 \over 2p}\)

\({2 \over 5x}+{7 \over 4y}={8y \over 20xy}+{35x \over 20xy}={8y+35x \over 20xy}\)

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

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

\({3x \over y}-{2 \over 9y}={27x \over 9y}-{2 \over 9y}={27x-2 \over 9y}\)

\({5y \over 4x}-{8x \over 7y}={35y^2 \over 28xy}-{32x^2 \over 28xy}={-32x^2+35y^2 \over 28xy}\)

\({2a \over a}={2 \over 1}=2\)

\({p \over 9p}={1 \over 9}\)

\({-6a \over 14a}=-\frac{3}{7}\)

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

\({-15xy \over 27xz}=-{5y \over 9z}\)

\({-28b \over 32ab}=-{7 \over 8a}\)

\({30pqr \over 5qr}=6p\)

\({4ab \over b}-{7ac \over c}=4a-7a=-3a\)

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

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

\({5 \over 7}⋅x={5x \over 7}\)

\({9 \over p}:{2 \over q}={9 \over p}⋅{q \over 2}={9q \over 2p}\)

\({2 \over 9}:a={2 \over 9}:{a \over 1}={2 \over 9}⋅{1 \over a}={2 \over 9a}\)

\({5x \over 4}+{x+2 \over 3}={15x \over 12}+{4(x+2) \over 12}={15x+4(x+2) \over 12}={19x+8 \over 12}\)

\({-6a+1 \over -9a-2}+3={-6a+1 \over -9a-2}-{-3(-9a-2) \over -9a-2}={-6a+1+3(-9a-2) \over -9a-2}={-6a+1-27a-6 \over -9a-2}={-33a-5 \over -9a-2}\)

\({3x^2-9x-60 \over 3x}={3x^2 \over 3x}-{9x \over 3x}-{60 \over 3x}=x-3-{20 \over x}\)

\({3x^2-5x+8 \over 2x^2}={3x^2 \over 2x^2}-{5x \over 2x^2}+{8 \over 2x^2}=1\frac{1}{2}-{5 \over 2x}+{4 \over x^2}\)