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

\({7 \over x} + {5 \over 6 x} = {42 \over 6 x} + {5 \over 6 x} = {47 \over 6 x}\)

\({7 \over 6 p} + {4 \over 8 q} = {28 q \over 24 p q} + {12 p \over 24 p q} = {28 q + 12 p \over 24 p q} = {7 q + 3 p \over 6 p q}\)

\(5 - {7 \over 6 a} = {5 \over 1} - {7 \over 6 a} = {30 a \over 6 a} - {7 \over 6 a} = {30 a - 7 \over 6 a}\)

\({4 a \over b} - {3 \over 9 b} = {36 a \over 9 b} - {3 \over 9 b} = {36 a - 3 \over 9 b} = {12 a - 1 \over 3 b}\)

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

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

\({9 x \over 15 x} = \frac{3}{5}\)

\({-24 a \over -4 a} = 6\)

\({10 p q \over -12 p r} = -{5 q \over 6 r}\)

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

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

\({4 x y \over y} - {5 x z \over z} = 4 x - 5 x = -x\)

\(4 p - {9 \over 5 p} = {4 p \over 1} ⋅ {5 p \over 5 p} - {9 \over 5 p} = {20 p^{2} \over 5 p} - {9 \over 5 p} = {20 p^{2} - 9 \over 5 p}\)

\({8 b \over 3 a} + {7 a \over 2 b} = {16 b^{2} \over 6 a b} + {21 a^{2} \over 6 a b} = {21 a^{2} + 16 b^{2} \over 6 a b}\)

\({8 \over x} ⋅ -{3 \over y} = -{24 \over x y}\)

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

\(-{5 \over 3} ⋅ a = -{5 a \over 3}\)

\({5 y \over x} ⋅ {x + 7 \over 6} = {5 y (x + 7) \over 6 x} = {5 x y + 35 y \over 6 x}\)

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

\({9 \over 7} : x = {9 \over 7} : {x \over 1} = {9 \over 7} ⋅ {1 \over x} = {9 \over 7 x}\)

\({9 \over 4} : {p + 6 q \over q} = {9 \over 4} ⋅ {q \over p + 6 q} = {9 q \over 4 (p + 6 q)} = {9 q \over 4 p + 24 q}\)

\({8 a \over 7} + {a + 5 \over 6} = {48 a \over 42} + {7 (a + 5) \over 42} = {48 a + 7 (a + 5) \over 42} = {55 a + 35 \over 42}\)

\({7 p + 1 \over -6 p + 5} - 2 = {7 p + 1 \over -6 p + 5} + {-2 (-6 p + 5) \over -6 p + 5} = {7 p + 1 - 2 (-6 p + 5) \over -6 p + 5} = {7 p + 1 + 12 p - 10 \over -6 p + 5} = {19 p - 9 \over -6 p + 5}\)