\({4 \over 3 a} - {2 \over 3 a} = {2 \over 3 a}\)

\({5 \over x} + {6 \over 9 x} = {45 \over 9 x} + {6 \over 9 x} = {51 \over 9 x} = {17 \over 3 x}\)

\({3 \over 9 x} + {2 \over 8 y} = {24 y \over 72 x y} + {18 x \over 72 x y} = {24 y + 18 x \over 72 x y} = {4 y + 3 x \over 12 x y}\)

\(6 - {2 \over 7 p} = {6 \over 1} - {2 \over 7 p} = {42 p \over 7 p} - {2 \over 7 p} = {42 p - 2 \over 7 p}\)

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

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

\({a \over 8 a} = {1 \over 8}\)

\({25 p \over -40 p} = -\frac{5}{8}\)

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

\({28 x y \over -32 x z} = -{7 y \over 8 z}\)

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

\({21 x y z \over -3 y z} = -7 x\)

\({3 a b \over b} - {7 a c \over c} = 3 a - 7 a = -4 a\)

\(5 x - {7 \over 3 x} = {5 x \over 1} ⋅ {3 x \over 3 x} - {7 \over 3 x} = {15 x^{2} \over 3 x} - {7 \over 3 x} = {15 x^{2} - 7 \over 3 x}\)

\({5 q \over 3 p} + {8 p \over 2 q} = {10 q^{2} \over 6 p q} + {24 p^{2} \over 6 p q} = {24 p^{2} + 10 q^{2} \over 6 p q} = {12 p^{2} + 5 q^{2} \over 3 p q}\)

\({9 \over a} ⋅ -{4 \over b} = -{36 \over a b}\)

\({a \over 5} ⋅ {2 \over b} = {2 a \over 5 b}\)

\(-{2 \over 3} ⋅ x = -{2 x \over 3}\)

\({4 y \over x} ⋅ {x + 3 \over 7} = {4 y (x + 3) \over 7 x} = {4 x y + 12 y \over 7 x}\)

\({6 \over a} : {8 \over b} = {6 \over a} ⋅ {b \over 8} = {6 b \over 8 a} = {3 b \over 4 a}\)

\({4 \over 3} : p = {4 \over 3} : {p \over 1} = {4 \over 3} ⋅ {1 \over p} = {4 \over 3 p}\)

\(-{1 \over 8} : {x - 4 y \over y} = -{1 \over 8} ⋅ {y \over x - 4 y} = -{y \over 8 (x - 4 y)} = -{y \over 8 x - 32 y}\)

\({5 a \over 6} + {a + 2 \over 7} = {35 a \over 42} + {6 (a + 2) \over 42} = {35 a + 6 (a + 2) \over 42} = {41 a + 12 \over 42}\)