\({3 \over 6 x} - {8 \over 6 x} = -{5 \over 6 x}\)

\({9 \over a} - {8 \over 4 a} = {36 \over 4 a} - {8 \over 4 a} = {28 \over 4 a} = {7 \over a}\)

\({7 \over 5 x} - {6 \over 3 y} = {21 y \over 15 x y} - {30 x \over 15 x y} = {21 y - 30 x \over 15 x y} = {7 y - 10 x \over 5 x y}\)

\(7 - {4 \over 3 p} = {7 \over 1} - {4 \over 3 p} = {21 p \over 3 p} - {4 \over 3 p} = {21 p - 4 \over 3 p}\)

\(2 a + {8 \over 9 a} = {2 a \over 1} ⋅ {9 a \over 9 a} + {8 \over 9 a} = {18 a^{2} \over 9 a} + {8 \over 9 a} = {18 a^{2} + 8 \over 9 a}\)

\({7 a \over b} - {3 \over 9 b} = {63 a \over 9 b} - {3 \over 9 b} = {63 a - 3 \over 9 b} = {21 a - 1 \over 3 b}\)

\({2 b \over 5 a} - {6 a \over 8 b} = {16 b^{2} \over 40 a b} - {30 a^{2} \over 40 a b} = {-30 a^{2} + 16 b^{2} \over 40 a b} = {-15 a^{2} + 8 b^{2} \over 20 a b}\)

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

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

\({24 x \over 27 x} = \frac{8}{9}\)

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

\({15 x y \over -18 x z} = -{5 y \over 6 z}\)

\({-21 b \over -24 a b} = {7 \over 8 a}\)

\({-35 p q r \over 5 q r} = -7 p\)

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

\({6 \over p} ⋅ {5 \over q} = {30 \over p q}\)

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

\({8 \over 5} ⋅ a = {8 a \over 5}\)

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

\({6 \over 5} : x = {6 \over 5} : {x \over 1} = {6 \over 5} ⋅ {1 \over x} = {6 \over 5 x}\)

\({a \over 4} + {a + 3 \over 9} = {9 a \over 36} + {4 (a + 3) \over 36} = {9 a + 4 (a + 3) \over 36} = {13 a + 12 \over 36}\)

\({-3 a - 8 \over -2 a + 1} - 5 = {-3 a - 8 \over -2 a + 1} + {-5 (-2 a + 1) \over -2 a + 1} = {-3 a - 8 - 5 (-2 a + 1) \over -2 a + 1} = {-3 a - 8 + 10 a - 5 \over -2 a + 1} = {7 a - 13 \over -2 a + 1}\)

\({6 x^{2} + 9 x - 30 \over 3 x} = {6 x^{2} \over 3 x} + {9 x \over 3 x} - {30 \over 3 x} = 2 x + 3 - {10 \over x}\)

\({9 a^{2} + 7 a - 4 \over 8 a^{2}} = {9 a^{2} \over 8 a^{2}} + {7 a \over 8 a^{2}} - {4 \over 8 a^{2}} = 1\frac{1}{8} + {7 \over 8 a} - {1 \over 2 a^{2}}\)