\({6 \over 5x}-{7 \over 5x}=-{1 \over 5x}\)

\({3 \over p}+{6 \over 7p}={21 \over 7p}+{6 \over 7p}={27 \over 7p}\)

\({7 \over 9a}+{8 \over 6b}={14b \over 18ab}+{24a \over 18ab}={14b+24a \over 18ab}={7b+12a \over 9ab}\)

\(2+{7 \over 6x}={2 \over 1}+{7 \over 6x}={12x \over 6x}+{7 \over 6x}={12x+7 \over 6x}\)

\(5a-{7 \over 8a}={5a \over 1}⋅{8a \over 8a}-{7 \over 8a}={40a^2 \over 8a}-{7 \over 8a}={40a^2-7 \over 8a}\)

\({2a \over b}+{5 \over 6b}={12a \over 6b}+{5 \over 6b}={12a+5 \over 6b}\)

\({6b \over 5a}+{9a \over 3b}={18b^2 \over 15ab}+{45a^2 \over 15ab}={45a^2+18b^2 \over 15ab}={15a^2+6b^2 \over 5ab}\)

\({5x \over x}={5 \over 1}=5\)

\({p \over 6p}={1 \over 6}\)

\({24x \over 28x}=\frac{6}{7}\)

\({16a \over -4a}=-4\)

\({15pq \over 18pr}={5q \over 6r}\)

\({10y \over -14xy}=-{5 \over 7x}\)

\({16abc \over -4bc}=-4a\)

\({3xy \over y}+{6xz \over z}=3x+6x=9x\)

\({3 \over x}⋅-{5 \over y}=-{15 \over xy}\)

\({a \over 9}⋅-{7 \over b}=-{7a \over 9b}\)

\({9 \over 8}⋅a={9a \over 8}\)

\({7 \over x}:{9 \over y}={7 \over x}⋅{y \over 9}={7y \over 9x}\)

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

\({3x \over 4}+{x+2 \over 7}={21x \over 28}+{4(x+2) \over 28}={21x+4(x+2) \over 28}={25x+8 \over 28}\)

\({9y \over x}⋅{x-3 \over 2}={9y(x-3) \over 2x}={9xy-27y \over 2x}\)

\(-{7 \over 8}:{a-b \over b}=-{7 \over 8}⋅{b \over a-b}=-{7b \over 8(a-b)}=-{7b \over 8a-8b}\)

\({3a^2-2a-10 \over a}={3a^2 \over a}-{2a \over a}-{10 \over a}=3a-2-{10 \over a}\)

\({9x^2-4x+3 \over 6x^2}={9x^2 \over 6x^2}-{4x \over 6x^2}+{3 \over 6x^2}=1\frac{1}{2}-{2 \over 3x}+{1 \over 2x^2}\)