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\({5 \over a}:{4 \over b}={5 \over a}⋅{b \over 4}={5b \over 4a}\)

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

\(-{4 \over 9}:{a+2b \over b}=-{4 \over 9}⋅{b \over a+2b}=-{4b \over 9(a+2b)}=-{4b \over 9a+18b}\)

\({8 \over 7x}+{3 \over 7x}={11 \over 7x}\)

\({5 \over p}-{8 \over 9p}={45 \over 9p}-{8 \over 9p}={37 \over 9p}\)

\({5 \over 4x}-{3 \over 2y}={5y \over 4xy}-{6x \over 4xy}={5y-6x \over 4xy}\)

\(6-{7 \over 8p}={6 \over 1}-{7 \over 8p}={48p \over 8p}-{7 \over 8p}={48p-7 \over 8p}\)

\(7a+{5 \over 4a}={7a \over 1}⋅{4a \over 4a}+{5 \over 4a}={28a^2 \over 4a}+{5 \over 4a}={28a^2+5 \over 4a}\)

\({6x \over y}-{8 \over 7y}={42x \over 7y}-{8 \over 7y}={42x-8 \over 7y}\)

\({6b \over 7a}+{8a \over 4b}={24b^2 \over 28ab}+{56a^2 \over 28ab}={56a^2+24b^2 \over 28ab}={14a^2+6b^2 \over 7ab}\)

\({a \over 5}+{a+4 \over 7}={7a \over 35}+{5(a+4) \over 35}={7a+5(a+4) \over 35}={12a+20 \over 35}\)

\({-9a+8 \over 3a+6}+4={-9a+8 \over 3a+6}+{4(3a+6) \over 3a+6}={-9a+8+4(3a+6) \over 3a+6}={-9a+8+12a+24 \over 3a+6}={3a+32 \over 3a+6}\)

\({6 \over p}⋅-{8 \over q}=-{48 \over pq}\)

\({a \over 7}⋅{9 \over b}={9a \over 7b}\)

\({1 \over 2}⋅x={x \over 2}\)

\({7b \over a}⋅{a-5 \over 3}={7b(a-5) \over 3a}={7ab-35b \over 3a}\)

\({2p^2-6p+40 \over 2p}={2p^2 \over 2p}-{6p \over 2p}+{40 \over 2p}=p-3+{20 \over p}\)

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

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

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

\({-12x \over 16x}=-\frac{3}{4}\)

\({-27a \over -3a}=9\)

\({-9ab \over 24ac}=-{3b \over 8c}\)

\({-16q \over -18pq}={8 \over 9p}\)

\({8abc \over 4bc}=2a\)

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