\({6 \over 2x}+{5 \over 2x}={11 \over 2x}\)

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

\({5 \over 9p}+{2 \over 4q}={20q \over 36pq}+{18p \over 36pq}={20q+18p \over 36pq}={10q+9p \over 18pq}\)

\(6+{8 \over 7a}={6 \over 1}+{8 \over 7a}={42a \over 7a}+{8 \over 7a}={42a+8 \over 7a}\)

\({5a \over b}-{7 \over 4b}={20a \over 4b}-{7 \over 4b}={20a-7 \over 4b}\)

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

\({p \over 5p}={1 \over 5}\)

\({21a \over 27a}=\frac{7}{9}\)

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

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

\({-10y \over 16xy}=-{5 \over 8x}\)

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

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

\(5p-{7 \over 2p}={5p \over 1}⋅{2p \over 2p}-{7 \over 2p}={10p^2 \over 2p}-{7 \over 2p}={10p^2-7 \over 2p}\)

\({8b \over 7a}+{2a \over 3b}={24b^2 \over 21ab}+{14a^2 \over 21ab}={14a^2+24b^2 \over 21ab}\)

\({7 \over x}⋅-{4 \over y}=-{28 \over xy}\)

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

\(-{4 \over 3}⋅x=-{4x \over 3}\)

\({8q \over p}⋅{p-5 \over 9}={8q(p-5) \over 9p}={8pq-40q \over 9p}\)

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

\(-{4 \over 7}:a=-{4 \over 7}:{a \over 1}=-{4 \over 7}⋅{1 \over a}=-{4 \over 7a}\)

\({4 \over 7}:{x-y \over y}={4 \over 7}⋅{y \over x-y}={4y \over 7(x-y)}={4y \over 7x-7y}\)

\({7x \over 9}+{x-4 \over 8}={56x \over 72}+{9(x-4) \over 72}={56x+9(x-4) \over 72}={65x-36 \over 72}\)

\({-4p+7 \over -9p+2}-8={-4p+7 \over -9p+2}+{-8(-9p+2) \over -9p+2}={-4p+7-8(-9p+2) \over -9p+2}={-4p+7+72p-16 \over -9p+2}={68p-9 \over -9p+2}\)

\({p^2+2p-30 \over p}={p^2 \over p}+{2p \over p}-{30 \over p}=p+2-{30 \over p}\)

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