\({3 \over 7x}-{8 \over 7x}=-{5 \over 7x}\)

\({7 \over p}-{9 \over 8p}={56 \over 8p}-{9 \over 8p}={47 \over 8p}\)

\({6 \over 9x}+{5 \over 4y}={24y \over 36xy}+{45x \over 36xy}={24y+45x \over 36xy}={8y+15x \over 12xy}\)

\(3-{6 \over 7a}={3 \over 1}-{6 \over 7a}={21a \over 7a}-{6 \over 7a}={21a-6 \over 7a}\)

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

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

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

\({-8p \over -12p}=\frac{2}{3}\)

\({24x \over -3x}=-8\)

\({35ab \over -40ac}=-{7b \over 8c}\)

\({-25y \over -40xy}={5 \over 8x}\)

\({-35abc \over 5bc}=-7a\)

\({5xy \over y}+{4xz \over z}=5x+4x=9x\)

\(9a-{2 \over 7a}={9a \over 1}⋅{7a \over 7a}-{2 \over 7a}={63a^2 \over 7a}-{2 \over 7a}={63a^2-2 \over 7a}\)

\({8b \over 7a}-{9a \over 2b}={16b^2 \over 14ab}-{63a^2 \over 14ab}={-63a^2+16b^2 \over 14ab}\)

\({3 \over x}⋅-{7 \over y}=-{21 \over xy}\)

\({x \over 3}⋅-{7 \over y}=-{7x \over 3y}\)

\(-{2 \over 5}⋅p=-{2p \over 5}\)

\({9b \over a}⋅{a-8 \over 4}={9b(a-8) \over 4a}={9ab-72b \over 4a}\)

\({9 \over x}:{2 \over y}={9 \over x}⋅{y \over 2}={9y \over 2x}\)

\({9 \over 4}:p={9 \over 4}:{p \over 1}={9 \over 4}⋅{1 \over p}={9 \over 4p}\)

\({9 \over 8}:{x-2y \over y}={9 \over 8}⋅{y \over x-2y}={9y \over 8(x-2y)}={9y \over 8x-16y}\)

\({9a \over 2}+{a-7 \over 3}={27a \over 6}+{2(a-7) \over 6}={27a+2(a-7) \over 6}={29a-14 \over 6}\)

\({2p-5 \over -9p+1}-6={2p-5 \over -9p+1}+{-6(-9p+1) \over -9p+1}={2p-5-6(-9p+1) \over -9p+1}={2p-5+54p-6 \over -9p+1}={56p-11 \over -9p+1}\)

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

\({5a^2-9a+2 \over 7a^2}={5a^2 \over 7a^2}-{9a \over 7a^2}+{2 \over 7a^2}=\frac{5}{7}-{9 \over 7a}+{2 \over 7a^2}\)