\({4 \over 3 p} - {7 \over 3 p} = -{3 \over 3 p} = -{1 \over p}\)

\({4 \over x} + {5 \over 9 x} = {36 \over 9 x} + {5 \over 9 x} = {41 \over 9 x}\)

\({9 \over 6 a} - {8 \over 4 b} = {18 b \over 12 a b} - {24 a \over 12 a b} = {18 b - 24 a \over 12 a b} = {3 b - 4 a \over 2 a b}\)

\(9 - {7 \over 6 a} = {9 \over 1} - {7 \over 6 a} = {54 a \over 6 a} - {7 \over 6 a} = {54 a - 7 \over 6 a}\)

\({2 x \over y} - {5 \over 9 y} = {18 x \over 9 y} - {5 \over 9 y} = {18 x - 5 \over 9 y}\)

\({4 x \over x} = {4 \over 1} = 4\)

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

\({15 a \over -40 a} = -\frac{3}{8}\)

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

\({-9 p q \over -15 p r} = {3 q \over 5 r}\)

\({12 y \over -28 x y} = -{3 \over 7 x}\)

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

\({6 a b \over b} + {3 a c \over c} = 6 a + 3 a = 9 a\)

\(7 p + {5 \over 6 p} = {7 p \over 1} ⋅ {6 p \over 6 p} + {5 \over 6 p} = {42 p^{2} \over 6 p} + {5 \over 6 p} = {42 p^{2} + 5 \over 6 p}\)

\({5 y \over 9 x} + {2 x \over 7 y} = {35 y^{2} \over 63 x y} + {18 x^{2} \over 63 x y} = {18 x^{2} + 35 y^{2} \over 63 x y}\)

\({3 \over x} ⋅ -{4 \over y} = -{12 \over x y}\)

\({a \over 9} ⋅ -{5 \over b} = -{5 a \over 9 b}\)

\(-{6 \over 7} ⋅ a = -{6 a \over 7}\)

\({2 b \over a} ⋅ {a + 9 \over 7} = {2 b (a + 9) \over 7 a} = {2 a b + 18 b \over 7 a}\)

\({3 \over p} : {8 \over q} = {3 \over p} ⋅ {q \over 8} = {3 q \over 8 p}\)

\(-{4 \over 9} : x = -{4 \over 9} : {x \over 1} = -{4 \over 9} ⋅ {1 \over x} = -{4 \over 9 x}\)

\(-{8 \over 5} : {a - 2 b \over b} = -{8 \over 5} ⋅ {b \over a - 2 b} = -{8 b \over 5 (a - 2 b)} = -{8 b \over 5 a - 10 b}\)

\({4 x \over 3} + {x - 6 \over 2} = {8 x \over 6} + {3 (x - 6) \over 6} = {8 x + 3 (x - 6) \over 6} = {11 x - 18 \over 6}\)

\({-3 a - 5 \over 6 a + 7} + 9 = {-3 a - 5 \over 6 a + 7} + {9 (6 a + 7) \over 6 a + 7} = {-3 a - 5 + 9 (6 a + 7) \over 6 a + 7} = {-3 a - 5 + 54 a + 63 \over 6 a + 7} = {51 a + 58 \over 6 a + 7}\)