\({9 \over 5p}+{2 \over 5p}={11 \over 5p}\)

\({7 \over a}-{9 \over 4a}={28 \over 4a}-{9 \over 4a}={19 \over 4a}\)

\({3 \over 5x}-{4 \over 2y}={6y \over 10xy}-{20x \over 10xy}={6y-20x \over 10xy}={3y-10x \over 5xy}\)

\(9-{5 \over 4x}={9 \over 1}-{5 \over 4x}={36x \over 4x}-{5 \over 4x}={36x-5 \over 4x}\)

\({4a \over b}-{2 \over 6b}={24a \over 6b}-{2 \over 6b}={24a-2 \over 6b}={12a-1 \over 3b}\)

\({3x \over x}={3 \over 1}=3\)

\({x \over 3x}={1 \over 3}\)

\({10p \over 14p}=\frac{5}{7}\)

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

\({10ab \over 45ac}={2b \over 9c}\)

\({-9q \over 12pq}=-{3 \over 4p}\)

\({-18xyz \over 2yz}=-9x\)

\({5ab \over b}-{2ac \over c}=5a-2a=3a\)

\(4x-{7 \over 6x}={4x \over 1}⋅{6x \over 6x}-{7 \over 6x}={24x^2 \over 6x}-{7 \over 6x}={24x^2-7 \over 6x}\)

\({3y \over 9x}-{6x \over 4y}={12y^2 \over 36xy}-{54x^2 \over 36xy}={-54x^2+12y^2 \over 36xy}={-9x^2+2y^2 \over 6xy}\)

\({9 \over p}⋅-{4 \over q}=-{36 \over pq}\)

\({a \over 7}⋅-{2 \over b}=-{2a \over 7b}\)

\(-{4 \over 3}⋅a=-{4a \over 3}\)

\({6b \over a}⋅{a-5 \over 4}={6b(a-5) \over 4a}={3b(a-5) \over 2a}={3ab-15b \over 2a}\)

\({3 \over x}:{2 \over y}={3 \over x}⋅{y \over 2}={3y \over 2x}\)

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

\({9 \over 2}:{x-8y \over y}={9 \over 2}⋅{y \over x-8y}={9y \over 2(x-8y)}={9y \over 2x-16y}\)

\({a \over 6}+{a+9 \over 5}={5a \over 30}+{6(a+9) \over 30}={5a+6(a+9) \over 30}={11a+54 \over 30}\)

\({-7x+6 \over 3x+5}+1={-7x+6 \over 3x+5}+{1(3x+5) \over 3x+5}={-7x+6+1(3x+5) \over 3x+5}={-7x+6+3x+5 \over 3x+5}={-4x+11 \over 3x+5}\)