\({5 \over 8 x} + {2 \over 8 x} = {7 \over 8 x}\)

\({7 \over x} + {3 \over 6 x} = {42 \over 6 x} + {3 \over 6 x} = {45 \over 6 x} = {15 \over 2 x}\)

\({8 \over 7 a} - {6 \over 4 b} = {32 b \over 28 a b} - {42 a \over 28 a b} = {32 b - 42 a \over 28 a b} = {16 b - 21 a \over 14 a b}\)

\(5 + {9 \over 8 p} = {5 \over 1} + {9 \over 8 p} = {40 p \over 8 p} + {9 \over 8 p} = {40 p + 9 \over 8 p}\)

\({3 a \over b} - {2 \over 5 b} = {15 a \over 5 b} - {2 \over 5 b} = {15 a - 2 \over 5 b}\)

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

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

\({-8 a \over -28 a} = \frac{2}{7}\)

\({-12 x \over 4 x} = -3\)

\({10 a b \over 25 a c} = {2 b \over 5 c}\)

\({-32 y \over -36 x y} = {8 \over 9 x}\)

\({-32 x y z \over 4 y z} = -8 x\)

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

\(8 p + {3 \over 4 p} = {8 p \over 1} ⋅ {4 p \over 4 p} + {3 \over 4 p} = {32 p^{2} \over 4 p} + {3 \over 4 p} = {32 p^{2} + 3 \over 4 p}\)

\({8 y \over 9 x} + {7 x \over 5 y} = {40 y^{2} \over 45 x y} + {63 x^{2} \over 45 x y} = {63 x^{2} + 40 y^{2} \over 45 x y}\)

\({5 \over a} ⋅ -{7 \over b} = -{35 \over a b}\)

\({a \over 6} ⋅ {2 \over b} = {2 a \over 6 b} = {a \over 3 b}\)

\(-{3 \over 5} ⋅ x = -{3 x \over 5}\)

\({5 y \over x} ⋅ {x - 8 \over 7} = {5 y (x - 8) \over 7 x} = {5 x y - 40 y \over 7 x}\)

\({3 \over p} : {7 \over q} = {3 \over p} ⋅ {q \over 7} = {3 q \over 7 p}\)

\(-{6 \over 7} : a = -{6 \over 7} : {a \over 1} = -{6 \over 7} ⋅ {1 \over a} = -{6 \over 7 a}\)

\({1 \over 7} : {x + 6 y \over y} = {1 \over 7} ⋅ {y \over x + 6 y} = {y \over 7 (x + 6 y)} = {y \over 7 x + 42 y}\)

\({7 a \over 3} + {a + 9 \over 8} = {56 a \over 24} + {3 (a + 9) \over 24} = {56 a + 3 (a + 9) \over 24} = {59 a + 27 \over 24}\)

\({-6 a + 1 \over 9 a + 4} + 5 = {-6 a + 1 \over 9 a + 4} + {5 (9 a + 4) \over 9 a + 4} = {-6 a + 1 + 5 (9 a + 4) \over 9 a + 4} = {-6 a + 1 + 45 a + 20 \over 9 a + 4} = {39 a + 21 \over 9 a + 4}\)

\({4 p^{2} - 2 p - 60 \over 2 p} = {4 p^{2} \over 2 p} - {2 p \over 2 p} - {60 \over 2 p} = 2 p - 1 - {30 \over p}\)

\({7 x^{2} - 9 x + 8 \over 4 x^{2}} = {7 x^{2} \over 4 x^{2}} - {9 x \over 4 x^{2}} + {8 \over 4 x^{2}} = 1\frac{3}{4} - {9 \over 4 x} + {2 \over x^{2}}\)