\({2 \over 6x}-{3 \over 6x}=-{1 \over 6x}\)

\({4 \over x}+{6 \over 8x}={32 \over 8x}+{6 \over 8x}={38 \over 8x}={19 \over 4x}\)

\({7 \over 8p}+{6 \over 9q}={63q \over 72pq}+{48p \over 72pq}={63q+48p \over 72pq}={21q+16p \over 24pq}\)

\(9+{7 \over 6a}={9 \over 1}+{7 \over 6a}={54a \over 6a}+{7 \over 6a}={54a+7 \over 6a}\)

\(9a-{5 \over 7a}={9a \over 1}⋅{7a \over 7a}-{5 \over 7a}={63a^2 \over 7a}-{5 \over 7a}={63a^2-5 \over 7a}\)

\({9a \over b}+{3 \over 4b}={36a \over 4b}+{3 \over 4b}={36a+3 \over 4b}\)

\({6y \over 8x}+{3x \over 4y}={6y^2 \over 8xy}+{6x^2 \over 8xy}={6x^2+6y^2 \over 8xy}={3x^2+3y^2 \over 4xy}\)

\({7p \over p}={7 \over 1}=7\)

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

\({-4a \over 18a}=-\frac{2}{9}\)

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

\({-6xy \over 10xz}=-{3y \over 5z}\)

\({-20y \over 36xy}=-{5 \over 9x}\)

\({21abc \over 3bc}=7a\)

\({3pq \over q}+{2pr \over r}=3p+2p=5p\)

\({9 \over x}⋅-{6 \over y}=-{54 \over xy}\)

\({x \over 6}⋅-{8 \over y}=-{8x \over 6y}=-{4x \over 3y}\)

\({5 \over 6}⋅a={5a \over 6}\)

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

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

\({9x \over 8}+{x+2 \over 5}={45x \over 40}+{8(x+2) \over 40}={45x+8(x+2) \over 40}={53x+16 \over 40}\)

\({-8a+5 \over -9a+4}+3={-8a+5 \over -9a+4}-{-3(-9a+4) \over -9a+4}={-8a+5+3(-9a+4) \over -9a+4}={-8a+5-27a+12 \over -9a+4}={-35a+17 \over -9a+4}\)

\({3x^2-x+20 \over x}={3x^2 \over x}-{x \over x}+{20 \over x}=3x-1+{20 \over x}\)

\({9p^2+p+4 \over 5p^2}={9p^2 \over 5p^2}+{p \over 5p^2}+{4 \over 5p^2}=1\frac{4}{5}+{1 \over 5p}+{4 \over 5p^2}\)