\({6 \over 9 a} + {7 \over 9 a} = {13 \over 9 a}\)

\({7 \over p} + {5 \over 6 p} = {42 \over 6 p} + {5 \over 6 p} = {47 \over 6 p}\)

\({4 \over 8 x} - {9 \over 6 y} = {12 y \over 24 x y} - {36 x \over 24 x y} = {12 y - 36 x \over 24 x y} = {y - 3 x \over 2 x y}\)

\(7 + {5 \over 3 x} = {7 \over 1} + {5 \over 3 x} = {21 x \over 3 x} + {5 \over 3 x} = {21 x + 5 \over 3 x}\)

\(6 a + {3 \over 8 a} = {6 a \over 1} ⋅ {8 a \over 8 a} + {3 \over 8 a} = {48 a^{2} \over 8 a} + {3 \over 8 a} = {48 a^{2} + 3 \over 8 a}\)

\({8 a \over b} + {6 \over 7 b} = {56 a \over 7 b} + {6 \over 7 b} = {56 a + 6 \over 7 b}\)

\({3 b \over 2 a} + {4 a \over 8 b} = {12 b^{2} \over 8 a b} + {4 a^{2} \over 8 a b} = {4 a^{2} + 12 b^{2} \over 8 a b} = {a^{2} + 3 b^{2} \over 2 a b}\)

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

\({x \over 9 x} = {1 \over 9}\)

\({-9 x \over 21 x} = -\frac{3}{7}\)

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

\({40 x y \over 45 x z} = {8 y \over 9 z}\)

\({8 y \over -28 x y} = -{2 \over 7 x}\)

\({14 a b c \over 2 b c} = 7 a\)

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

\({7 \over a} ⋅ {8 \over b} = {56 \over a b}\)

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

\(-{1 \over 4} ⋅ p = -{p \over 4}\)

\({3 \over x} : {5 \over y} = {3 \over x} ⋅ {y \over 5} = {3 y \over 5 x}\)

\({8 \over 7} : a = {8 \over 7} : {a \over 1} = {8 \over 7} ⋅ {1 \over a} = {8 \over 7 a}\)

\({4 x \over 5} + {x + 6 \over 7} = {28 x \over 35} + {5 (x + 6) \over 35} = {28 x + 5 (x + 6) \over 35} = {33 x + 30 \over 35}\)

\({-9 p - 2 \over -8 p - 1} + 7 = {-9 p - 2 \over -8 p - 1} - {-7 (-8 p - 1) \over -8 p - 1} = {-9 p - 2 + 7 (-8 p - 1) \over -8 p - 1} = {-9 p - 2 - 56 p - 7 \over -8 p - 1} = {-65 p - 9 \over -8 p - 1}\)

\({3 x^{2} - 9 x + 60 \over 3 x} = {3 x^{2} \over 3 x} - {9 x \over 3 x} + {60 \over 3 x} = x - 3 + {20 \over x}\)

\({7 x^{2} + x + 5 \over 4 x^{2}} = {7 x^{2} \over 4 x^{2}} + {x \over 4 x^{2}} + {5 \over 4 x^{2}} = 1\frac{3}{4} + {1 \over 4 x} + {5 \over 4 x^{2}}\)