\({2 \over 5x}-{4 \over 5x}=-{2 \over 5x}\)

\({7 \over x}+{6 \over 8x}={56 \over 8x}+{6 \over 8x}={62 \over 8x}={31 \over 4x}\)

\({9 \over 7a}+{3 \over 8b}={72b \over 56ab}+{21a \over 56ab}={72b+21a \over 56ab}\)

\(6+{9 \over 5p}={6 \over 1}+{9 \over 5p}={30p \over 5p}+{9 \over 5p}={30p+9 \over 5p}\)

\({5a \over b}+{7 \over 3b}={15a \over 3b}+{7 \over 3b}={15a+7 \over 3b}\)

\({5p \over p}={5 \over 1}=5\)

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

\({-25a \over -30a}=\frac{5}{6}\)

\({8a \over -2a}=-4\)

\({15xy \over 21xz}={5y \over 7z}\)

\({15y \over -24xy}=-{5 \over 8x}\)

\({-20xyz \over 4yz}=-5x\)

\({6ab \over b}-{7ac \over c}=6a-7a=-a\)

\(6a+{5 \over 8a}={6a \over 1}⋅{8a \over 8a}+{5 \over 8a}={48a^2 \over 8a}+{5 \over 8a}={48a^2+5 \over 8a}\)

\({5b \over 6a}+{7a \over 9b}={15b^2 \over 18ab}+{14a^2 \over 18ab}={14a^2+15b^2 \over 18ab}\)

\({6 \over x}⋅{8 \over y}={48 \over xy}\)

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

\(-{8 \over 3}⋅p=-{8p \over 3}\)

\({6y \over x}⋅{x-7 \over 9}={6y(x-7) \over 9x}={2y(x-7) \over 3x}={2xy-14y \over 3x}\)

\({7 \over p}:{9 \over q}={7 \over p}⋅{q \over 9}={7q \over 9p}\)

\(-{5 \over 9}:a=-{5 \over 9}:{a \over 1}=-{5 \over 9}⋅{1 \over a}=-{5 \over 9a}\)

\(-{1 \over 8}:{x-9y \over y}=-{1 \over 8}⋅{y \over x-9y}=-{y \over 8(x-9y)}=-{y \over 8x-72y}\)

\({7a \over 3}+{a+9 \over 5}={35a \over 15}+{3(a+9) \over 15}={35a+3(a+9) \over 15}={38a+27 \over 15}\)

\({-9x-8 \over 7x-3}-2={-9x-8 \over 7x-3}-{2(7x-3) \over 7x-3}={-9x-8-2(7x-3) \over 7x-3}={-9x-8-14x+6 \over 7x-3}={-23x-2 \over 7x-3}\)

\({9x^2+6x-30 \over 3x}={9x^2 \over 3x}+{6x \over 3x}-{30 \over 3x}=3x+2-{10 \over x}\)

\({2a^2-8a+5 \over 7a^2}={2a^2 \over 7a^2}-{8a \over 7a^2}+{5 \over 7a^2}=\frac{2}{7}-{8 \over 7a}+{5 \over 7a^2}\)