\({5 \over 7 p} - {6 \over 7 p} = -{1 \over 7 p}\)

\({6 \over x} + {3 \over 9 x} = {54 \over 9 x} + {3 \over 9 x} = {57 \over 9 x} = {19 \over 3 x}\)

\({7 \over 5 x} + {4 \over 9 y} = {63 y \over 45 x y} + {20 x \over 45 x y} = {63 y + 20 x \over 45 x y}\)

\(4 - {9 \over 7 a} = {4 \over 1} - {9 \over 7 a} = {28 a \over 7 a} - {9 \over 7 a} = {28 a - 9 \over 7 a}\)

\(8 a - {6 \over 7 a} = {8 a \over 1} ⋅ {7 a \over 7 a} - {6 \over 7 a} = {56 a^{2} \over 7 a} - {6 \over 7 a} = {56 a^{2} - 6 \over 7 a}\)

\({8 a \over b} - {9 \over 4 b} = {32 a \over 4 b} - {9 \over 4 b} = {32 a - 9 \over 4 b}\)

\({7 y \over 3 x} + {9 x \over 4 y} = {28 y^{2} \over 12 x y} + {27 x^{2} \over 12 x y} = {27 x^{2} + 28 y^{2} \over 12 x y}\)

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

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

\({-20 a \over -24 a} = \frac{5}{6}\)

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

\({24 a b \over 27 a c} = {8 b \over 9 c}\)

\({-16 q \over -20 p q} = {4 \over 5 p}\)

\({-12 x y z \over -2 y z} = 6 x\)

\({7 a b \over b} + {3 a c \over c} = 7 a + 3 a = 10 a\)

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

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

\({4 \over 5} ⋅ p = {4 p \over 5}\)

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

\({4 \over 7} : a = {4 \over 7} : {a \over 1} = {4 \over 7} ⋅ {1 \over a} = {4 \over 7 a}\)

\({x \over 6} + {x - 5 \over 7} = {7 x \over 42} + {6 (x - 5) \over 42} = {7 x + 6 (x - 5) \over 42} = {13 x - 30 \over 42}\)

\({1 \over 4} : {a + 9 b \over b} = {1 \over 4} ⋅ {b \over a + 9 b} = {b \over 4 (a + 9 b)} = {b \over 4 a + 36 b}\)

\({7 x + 3 \over 5 x - 4} - 6 = {7 x + 3 \over 5 x - 4} - {6 (5 x - 4) \over 5 x - 4} = {7 x + 3 - 6 (5 x - 4) \over 5 x - 4} = {7 x + 3 - 30 x + 24 \over 5 x - 4} = {-23 x + 27 \over 5 x - 4}\)