\({6 \over 9p}-{2 \over 9p}={4 \over 9p}\)

\({7 \over a}+{9 \over 4a}={28 \over 4a}+{9 \over 4a}={37 \over 4a}\)

\({6 \over 9x}+{5 \over 8y}={48y \over 72xy}+{45x \over 72xy}={48y+45x \over 72xy}={16y+15x \over 24xy}\)

\(7-{3 \over 5a}={7 \over 1}-{3 \over 5a}={35a \over 5a}-{3 \over 5a}={35a-3 \over 5a}\)

\(8x-{7 \over 2x}={8x \over 1}⋅{2x \over 2x}-{7 \over 2x}={16x^2 \over 2x}-{7 \over 2x}={16x^2-7 \over 2x}\)

\({7x \over y}+{4 \over 5y}={35x \over 5y}+{4 \over 5y}={35x+4 \over 5y}\)

\({4b \over 7a}+{3a \over 9b}={36b^2 \over 63ab}+{21a^2 \over 63ab}={21a^2+36b^2 \over 63ab}={7a^2+12b^2 \over 21ab}\)

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

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

\({15p \over -25p}=-\frac{3}{5}\)

\({-6a \over -3a}=2\)

\({9xy \over -12xz}=-{3y \over 4z}\)

\({32q \over -36pq}=-{8 \over 9p}\)

\({45abc \over 5bc}=9a\)

\({4xy \over y}+{5xz \over z}=4x+5x=9x\)

\({8 \over a}⋅{4 \over b}={32 \over ab}\)

\({a \over 7}⋅{4 \over b}={4a \over 7b}\)

\(-{8 \over 9}⋅x=-{8x \over 9}\)

\({4 \over p}:{2 \over q}={4 \over p}⋅{q \over 2}={4q \over 2p}={2q \over p}\)

\({4 \over 9}:x={4 \over 9}:{x \over 1}={4 \over 9}⋅{1 \over x}={4 \over 9x}\)

\({5p \over 7}+{p-1 \over 3}={15p \over 21}+{7(p-1) \over 21}={15p+7(p-1) \over 21}={22p-7 \over 21}\)

\({-3x+1 \over 4x-7}-2={-3x+1 \over 4x-7}-{2(4x-7) \over 4x-7}={-3x+1-2(4x-7) \over 4x-7}={-3x+1-8x+14 \over 4x-7}={-11x+15 \over 4x-7}\)

\({3a^2-6a-90 \over 3a}={3a^2 \over 3a}-{6a \over 3a}-{90 \over 3a}=a-2-{30 \over a}\)

\({8x^2-7x-2 \over 6x^2}={8x^2 \over 6x^2}-{7x \over 6x^2}-{2 \over 6x^2}=1\frac{1}{3}-{7 \over 6x}-{1 \over 3x^2}\)