\({6 \over 2a}+{5 \over 2a}={11 \over 2a}\)

\({9 \over p}-{7 \over 2p}={18 \over 2p}-{7 \over 2p}={11 \over 2p}\)

\({7 \over 2a}+{3 \over 6b}={21b \over 6ab}+{3a \over 6ab}={21b+3a \over 6ab}={7b+a \over 2ab}\)

\(6+{7 \over 8x}={6 \over 1}+{7 \over 8x}={48x \over 8x}+{7 \over 8x}={48x+7 \over 8x}\)

\({8x \over y}+{4 \over 5y}={40x \over 5y}+{4 \over 5y}={40x+4 \over 5y}\)

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

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

\({-9p \over 15p}=-\frac{3}{5}\)

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

\({15xy \over 25xz}={3y \over 5z}\)

\({-28y \over -32xy}={7 \over 8x}\)

\({24abc \over -4bc}=-6a\)

\({4ab \over b}-{2ac \over c}=4a-2a=2a\)

\(7p-{3 \over 4p}={7p \over 1}⋅{4p \over 4p}-{3 \over 4p}={28p^2 \over 4p}-{3 \over 4p}={28p^2-3 \over 4p}\)

\({6y \over 7x}-{5x \over 2y}={12y^2 \over 14xy}-{35x^2 \over 14xy}={-35x^2+12y^2 \over 14xy}\)

\({6 \over a}⋅-{5 \over b}=-{30 \over ab}\)

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

\(-{7 \over 8}⋅a=-{7a \over 8}\)

\({6b \over a}⋅{a+7 \over 5}={6b(a+7) \over 5a}={6ab+42b \over 5a}\)

\({5 \over a}:{2 \over b}={5 \over a}⋅{b \over 2}={5b \over 2a}\)

\(-{2 \over 7}:x=-{2 \over 7}:{x \over 1}=-{2 \over 7}⋅{1 \over x}=-{2 \over 7x}\)

\(-{2 \over 9}:{x-4y \over y}=-{2 \over 9}⋅{y \over x-4y}=-{2y \over 9(x-4y)}=-{2y \over 9x-36y}\)

\({8p \over 3}+{p+2 \over 7}={56p \over 21}+{3(p+2) \over 21}={56p+3(p+2) \over 21}={59p+6 \over 21}\)

\({-9x-7 \over 3x+5}-6={-9x-7 \over 3x+5}-{6(3x+5) \over 3x+5}={-9x-7-6(3x+5) \over 3x+5}={-9x-7-18x-30 \over 3x+5}={-27x-37 \over 3x+5}\)

\({6x^2-3x+90 \over 3x}={6x^2 \over 3x}-{3x \over 3x}+{90 \over 3x}=2x-1+{30 \over x}\)

\({9p^2-4p-6 \over 7p^2}={9p^2 \over 7p^2}-{4p \over 7p^2}-{6 \over 7p^2}=1\frac{2}{7}-{4 \over 7p}-{6 \over 7p^2}\)