\({5 \over 2p}+{8 \over 2p}={13 \over 2p}\)

\({7 \over a}-{3 \over 2a}={14 \over 2a}-{3 \over 2a}={11 \over 2a}\)

\({9 \over 5x}-{6 \over 4y}={36y \over 20xy}-{30x \over 20xy}={36y-30x \over 20xy}={18y-15x \over 10xy}\)

\(8+{3 \over 4x}={8 \over 1}+{3 \over 4x}={32x \over 4x}+{3 \over 4x}={32x+3 \over 4x}\)

\({5a \over b}-{4 \over 2b}={10a \over 2b}-{4 \over 2b}={10a-4 \over 2b}={5a-2 \over b}\)

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

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

\({-12p \over -14p}=\frac{6}{7}\)

\({32a \over 4a}=8\)

\({35xy \over 45xz}={7y \over 9z}\)

\({-35y \over -40xy}={7 \over 8x}\)

\({-32abc \over -4bc}=8a\)

\({2xy \over y}+{5xz \over z}=2x+5x=7x\)

\(3a+{5 \over 2a}={3a \over 1}⋅{2a \over 2a}+{5 \over 2a}={6a^2 \over 2a}+{5 \over 2a}={6a^2+5 \over 2a}\)

\({5y \over 8x}-{3x \over 7y}={35y^2 \over 56xy}-{24x^2 \over 56xy}={-24x^2+35y^2 \over 56xy}\)

\({2 \over x}⋅-{6 \over y}=-{12 \over xy}\)

\({p \over 2}⋅{5 \over q}={5p \over 2q}\)

\(-{3 \over 7}⋅a=-{3a \over 7}\)

\({9b \over a}⋅{a-8 \over 7}={9b(a-8) \over 7a}={9ab-72b \over 7a}\)

\({8 \over p}:{4 \over q}={8 \over p}⋅{q \over 4}={8q \over 4p}={2q \over p}\)

\({1 \over 2}:x={1 \over 2}:{x \over 1}={1 \over 2}⋅{1 \over x}={1 \over 2x}\)

\(-{6 \over 7}:{a+8b \over b}=-{6 \over 7}⋅{b \over a+8b}=-{6b \over 7(a+8b)}=-{6b \over 7a+56b}\)

\({7x \over 6}+{x-3 \over 5}={35x \over 30}+{6(x-3) \over 30}={35x+6(x-3) \over 30}={41x-18 \over 30}\)

\({3x-4 \over -7x-8}+9={3x-4 \over -7x-8}-{-9(-7x-8) \over -7x-8}={3x-4+9(-7x-8) \over -7x-8}={3x-4-63x-72 \over -7x-8}={-60x-76 \over -7x-8}\)

\({4a^2-5a+3 \over 6a^2}={4a^2 \over 6a^2}-{5a \over 6a^2}+{3 \over 6a^2}=\frac{2}{3}-{5 \over 6a}+{1 \over 2a^2}\)