\({8 \over 3a}+{6 \over 3a}={14 \over 3a}\)

\({6 \over x}-{7 \over 4x}={24 \over 4x}-{7 \over 4x}={17 \over 4x}\)

\({9 \over 4x}+{7 \over 8y}={18y \over 8xy}+{7x \over 8xy}={18y+7x \over 8xy}\)

\(4-{7 \over 6p}={4 \over 1}-{7 \over 6p}={24p \over 6p}-{7 \over 6p}={24p-7 \over 6p}\)

\({9a \over b}+{2 \over 8b}={72a \over 8b}+{2 \over 8b}={72a+2 \over 8b}={36a+1 \over 4b}\)

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

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

\({9p \over 12p}=\frac{3}{4}\)

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

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

\({4y \over -18xy}=-{2 \over 9x}\)

\({-15pqr \over 3qr}=-5p\)

\({5ab \over b}+{3ac \over c}=5a+3a=8a\)

\(3a+{7 \over 6a}={3a \over 1}⋅{6a \over 6a}+{7 \over 6a}={18a^2 \over 6a}+{7 \over 6a}={18a^2+7 \over 6a}\)

\({3q \over 9p}+{6p \over 8q}={24q^2 \over 72pq}+{54p^2 \over 72pq}={54p^2+24q^2 \over 72pq}={9p^2+4q^2 \over 12pq}\)

\({6 \over x}⋅-{2 \over y}=-{12 \over xy}\)

\({x \over 7}⋅-{4 \over y}=-{4x \over 7y}\)

\({1 \over 3}⋅a={a \over 3}\)

\({2q \over p}⋅{p-8 \over 3}={2q(p-8) \over 3p}={2pq-16q \over 3p}\)

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

\({5 \over 6}:a={5 \over 6}:{a \over 1}={5 \over 6}⋅{1 \over a}={5 \over 6a}\)

\({1 \over 6}:{x+2y \over y}={1 \over 6}⋅{y \over x+2y}={y \over 6(x+2y)}={y \over 6x+12y}\)

\({4a \over 9}+{a+6 \over 2}={8a \over 18}+{9(a+6) \over 18}={8a+9(a+6) \over 18}={17a+54 \over 18}\)

\({8x-4 \over 9x+3}+5={8x-4 \over 9x+3}+{5(9x+3) \over 9x+3}={8x-4+5(9x+3) \over 9x+3}={8x-4+45x+15 \over 9x+3}={53x+11 \over 9x+3}\)

\({9a^2+3a-60 \over 3a}={9a^2 \over 3a}+{3a \over 3a}-{60 \over 3a}=3a+1-{20 \over a}\)

\({2x^2-7x-1 \over 3x^2}={2x^2 \over 3x^2}-{7x \over 3x^2}-{1 \over 3x^2}=\frac{2}{3}-{7 \over 3x}-{1 \over 3x^2}\)