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

\({4 \over a}-{5 \over 8a}={32 \over 8a}-{5 \over 8a}={27 \over 8a}\)

\({7 \over 5x}+{6 \over 3y}={21y \over 15xy}+{30x \over 15xy}={21y+30x \over 15xy}={7y+10x \over 5xy}\)

\(6-{7 \over 3x}={6 \over 1}-{7 \over 3x}={18x \over 3x}-{7 \over 3x}={18x-7 \over 3x}\)

\(4p+{5 \over 6p}={4p \over 1}⋅{6p \over 6p}+{5 \over 6p}={24p^2 \over 6p}+{5 \over 6p}={24p^2+5 \over 6p}\)

\({6p \over q}+{2 \over 5q}={30p \over 5q}+{2 \over 5q}={30p+2 \over 5q}\)

\({5y \over 3x}-{9x \over 4y}={20y^2 \over 12xy}-{27x^2 \over 12xy}={-27x^2+20y^2 \over 12xy}\)

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

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

\({-10a \over 45a}=-\frac{2}{9}\)

\({45x \over 5x}=9\)

\({21xy \over -27xz}=-{7y \over 9z}\)

\({-4q \over -6pq}={2 \over 3p}\)

\({24abc \over 3bc}=8a\)

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

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

\({p \over 7}⋅-{5 \over q}=-{5p \over 7q}\)

\(-{4 \over 7}⋅a=-{4a \over 7}\)

\({8 \over x}:{3 \over y}={8 \over x}⋅{y \over 3}={8y \over 3x}\)

\(-{1 \over 3}:a=-{1 \over 3}:{a \over 1}=-{1 \over 3}⋅{1 \over a}=-{1 \over 3a}\)

\({p \over 2}+{p-4 \over 3}={3p \over 6}+{2(p-4) \over 6}={3p+2(p-4) \over 6}={5p-8 \over 6}\)

\(-{4 \over 7}:{x-9y \over y}=-{4 \over 7}⋅{y \over x-9y}=-{4y \over 7(x-9y)}=-{4y \over 7x-63y}\)

\({6x+7 \over -8x+5}+9={6x+7 \over -8x+5}-{-9(-8x+5) \over -8x+5}={6x+7+9(-8x+5) \over -8x+5}={6x+7-72x+45 \over -8x+5}={-66x+52 \over -8x+5}\)