\({4 \over 9a}+{3 \over 9a}={7 \over 9a}\)

\({6 \over p}-{8 \over 2p}={12 \over 2p}-{8 \over 2p}={4 \over 2p}={2 \over p}\)

\({5 \over 7a}+{8 \over 3b}={15b \over 21ab}+{56a \over 21ab}={15b+56a \over 21ab}\)

\(4-{9 \over 7x}={4 \over 1}-{9 \over 7x}={28x \over 7x}-{9 \over 7x}={28x-9 \over 7x}\)

\({5x \over y}-{6 \over 3y}={15x \over 3y}-{6 \over 3y}={15x-6 \over 3y}={5x-2 \over y}\)

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

\({a \over 3a}={1 \over 3}\)

\({20a \over 24a}=\frac{5}{6}\)

\({18p \over 3p}=6\)

\({8xy \over 12xz}={2y \over 3z}\)

\({4y \over -14xy}=-{2 \over 7x}\)

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

\({7pq \over q}+{5pr \over r}=7p+5p=12p\)

\(9p+{7 \over 2p}={9p \over 1}⋅{2p \over 2p}+{7 \over 2p}={18p^2 \over 2p}+{7 \over 2p}={18p^2+7 \over 2p}\)

\({7y \over 4x}-{8x \over 3y}={21y^2 \over 12xy}-{32x^2 \over 12xy}={-32x^2+21y^2 \over 12xy}\)

\({3 \over x}⋅-{2 \over y}=-{6 \over xy}\)

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

\({9 \over 7}⋅a={9a \over 7}\)

\({3b \over a}⋅{a-8 \over 9}={3b(a-8) \over 9a}={b(a-8) \over 3a}={ab-8b \over 3a}\)

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

\(-{7 \over 6}:x=-{7 \over 6}:{x \over 1}=-{7 \over 6}⋅{1 \over x}=-{7 \over 6x}\)

\(-{7 \over 9}:{x-5y \over y}=-{7 \over 9}⋅{y \over x-5y}=-{7y \over 9(x-5y)}=-{7y \over 9x-45y}\)

\({8p \over 5}+{p-9 \over 7}={56p \over 35}+{5(p-9) \over 35}={56p+5(p-9) \over 35}={61p-45 \over 35}\)

\({9x-6 \over -7x+5}+8={9x-6 \over -7x+5}-{-8(-7x+5) \over -7x+5}={9x-6+8(-7x+5) \over -7x+5}={9x-6-56x+40 \over -7x+5}={-47x+34 \over -7x+5}\)