\({4 \over 6 x} - {7 \over 6 x} = -{3 \over 6 x} = -{1 \over 2 x}\)

\({2 \over x} - {7 \over 4 x} = {8 \over 4 x} - {7 \over 4 x} = {1 \over 4 x}\)

\({2 \over 6 a} - {7 \over 5 b} = {10 b \over 30 a b} - {42 a \over 30 a b} = {10 b - 42 a \over 30 a b} = {5 b - 21 a \over 15 a b}\)

\(3 - {9 \over 5 p} = {3 \over 1} - {9 \over 5 p} = {15 p \over 5 p} - {9 \over 5 p} = {15 p - 9 \over 5 p}\)

\(8 a - {9 \over 7 a} = {8 a \over 1} ⋅ {7 a \over 7 a} - {9 \over 7 a} = {56 a^{2} \over 7 a} - {9 \over 7 a} = {56 a^{2} - 9 \over 7 a}\)

\({5 a \over b} + {3 \over 7 b} = {35 a \over 7 b} + {3 \over 7 b} = {35 a + 3 \over 7 b}\)

\({8 b \over 5 a} - {4 a \over 3 b} = {24 b^{2} \over 15 a b} - {20 a^{2} \over 15 a b} = {-20 a^{2} + 24 b^{2} \over 15 a b}\)

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

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

\({15 p \over 35 p} = \frac{3}{7}\)

\({-25 x \over 5 x} = -5\)

\({24 a b \over 28 a c} = {6 b \over 7 c}\)

\({-20 y \over 45 x y} = -{4 \over 9 x}\)

\({18 p q r \over 3 q r} = 6 p\)

\({6 a b \over b} - {2 a c \over c} = 6 a - 2 a = 4 a\)

\({4 \over a} ⋅ -{8 \over b} = -{32 \over a b}\)

\({p \over 2} ⋅ {6 \over q} = {6 p \over 2 q} = {3 p \over q}\)

\(-{5 \over 3} ⋅ x = -{5 x \over 3}\)

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

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

\({9 a \over 2} + {a - 6 \over 7} = {63 a \over 14} + {2 (a - 6) \over 14} = {63 a + 2 (a - 6) \over 14} = {65 a - 12 \over 14}\)