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

\({5 \over a} + {7 \over 4 a} = {20 \over 4 a} + {7 \over 4 a} = {27 \over 4 a}\)

\({4 \over 7 x} + {3 \over 2 y} = {8 y \over 14 x y} + {21 x \over 14 x y} = {8 y + 21 x \over 14 x y}\)

\(7 + {4 \over 9 a} = {7 \over 1} + {4 \over 9 a} = {63 a \over 9 a} + {4 \over 9 a} = {63 a + 4 \over 9 a}\)

\({3 p \over q} + {9 \over 4 q} = {12 p \over 4 q} + {9 \over 4 q} = {12 p + 9 \over 4 q}\)

\({6 x \over x} = {6 \over 1} = 6\)

\({a \over 6 a} = {1 \over 6}\)

\({10 x \over 35 x} = \frac{2}{7}\)

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

\({-10 p q \over -14 p r} = {5 q \over 7 r}\)

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

\({-21 a b c \over -3 b c} = 7 a\)

\({2 p q \over q} + {6 p r \over r} = 2 p + 6 p = 8 p\)

\(2 p + {5 \over 8 p} = {2 p \over 1} ⋅ {8 p \over 8 p} + {5 \over 8 p} = {16 p^{2} \over 8 p} + {5 \over 8 p} = {16 p^{2} + 5 \over 8 p}\)

\({2 y \over 8 x} + {6 x \over 3 y} = {6 y^{2} \over 24 x y} + {48 x^{2} \over 24 x y} = {48 x^{2} + 6 y^{2} \over 24 x y} = {8 x^{2} + y^{2} \over 4 x y}\)

\({3 \over a} ⋅ -{5 \over b} = -{15 \over a b}\)

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

\(-{2 \over 7} ⋅ a = -{2 a \over 7}\)

\({3 b \over a} ⋅ {a + 8 \over 7} = {3 b (a + 8) \over 7 a} = {3 a b + 24 b \over 7 a}\)

\({2 \over x} : {7 \over y} = {2 \over x} ⋅ {y \over 7} = {2 y \over 7 x}\)

\(-{3 \over 8} : x = -{3 \over 8} : {x \over 1} = -{3 \over 8} ⋅ {1 \over x} = -{3 \over 8 x}\)

\({6 \over 7} : {p - q \over q} = {6 \over 7} ⋅ {q \over p - q} = {6 q \over 7 (p - q)} = {6 q \over 7 p - 7 q}\)

\({3 a \over 2} + {a - 4 \over 7} = {21 a \over 14} + {2 (a - 4) \over 14} = {21 a + 2 (a - 4) \over 14} = {23 a - 8 \over 14}\)

\({2 p + 5 \over 6 p - 8} - 3 = {2 p + 5 \over 6 p - 8} - {3 (6 p - 8) \over 6 p - 8} = {2 p + 5 - 3 (6 p - 8) \over 6 p - 8} = {2 p + 5 - 18 p + 24 \over 6 p - 8} = {-16 p + 29 \over 6 p - 8}\)

\({3 a^{2} + 9 a + 7 \over 6 a^{2}} = {3 a^{2} \over 6 a^{2}} + {9 a \over 6 a^{2}} + {7 \over 6 a^{2}} = \frac{1}{2} + {3 \over 2 a} + {7 \over 6 a^{2}}\)