\({7 \over 6p}+{9 \over 6p}={16 \over 6p}={8 \over 3p}\)

\({6 \over a}-{3 \over 8a}={48 \over 8a}-{3 \over 8a}={45 \over 8a}\)

\({2 \over 7x}+{9 \over 6y}={12y \over 42xy}+{63x \over 42xy}={12y+63x \over 42xy}={4y+21x \over 14xy}\)

\(9-{3 \over 8a}={9 \over 1}-{3 \over 8a}={72a \over 8a}-{3 \over 8a}={72a-3 \over 8a}\)

\({9x \over y}-{5 \over 6y}={54x \over 6y}-{5 \over 6y}={54x-5 \over 6y}\)

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

\({x \over 8x}={1 \over 8}\)

\({-25p \over -35p}=\frac{5}{7}\)

\({10x \over 5x}=2\)

\({6ab \over 14ac}={3b \over 7c}\)

\({-28q \over 32pq}=-{7 \over 8p}\)

\({-15abc \over 3bc}=-5a\)

\({2xy \over y}+{4xz \over z}=2x+4x=6x\)

\(5p-{9 \over 4p}={5p \over 1}⋅{4p \over 4p}-{9 \over 4p}={20p^2 \over 4p}-{9 \over 4p}={20p^2-9 \over 4p}\)

\({5b \over 4a}-{6a \over 9b}={45b^2 \over 36ab}-{24a^2 \over 36ab}={-24a^2+45b^2 \over 36ab}={-8a^2+15b^2 \over 12ab}\)

\({7 \over x}⋅{8 \over y}={56 \over xy}\)

\({x \over 8}⋅{9 \over y}={9x \over 8y}\)

\({2 \over 7}⋅a={2a \over 7}\)

\({6b \over a}⋅{a+3 \over 8}={6b(a+3) \over 8a}={3b(a+3) \over 4a}={3ab+9b \over 4a}\)

\({8 \over x}:{4 \over y}={8 \over x}⋅{y \over 4}={8y \over 4x}={2y \over x}\)

\({7 \over 9}:p={7 \over 9}:{p \over 1}={7 \over 9}⋅{1 \over p}={7 \over 9p}\)

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

\({7a \over 3}+{a+9 \over 2}={14a \over 6}+{3(a+9) \over 6}={14a+3(a+9) \over 6}={17a+27 \over 6}\)