\({5 \over 8a}-{9 \over 8a}=-{4 \over 8a}=-{1 \over 2a}\)

\({6 \over x}-{9 \over 2x}={12 \over 2x}-{9 \over 2x}={3 \over 2x}\)

\({8 \over 7a}-{4 \over 2b}={16b \over 14ab}-{28a \over 14ab}={16b-28a \over 14ab}={8b-14a \over 7ab}\)

\(7-{5 \over 9p}={7 \over 1}-{5 \over 9p}={63p \over 9p}-{5 \over 9p}={63p-5 \over 9p}\)

\({5x \over y}-{4 \over 8y}={40x \over 8y}-{4 \over 8y}={40x-4 \over 8y}={10x-1 \over 2y}\)

\({4x \over x}={4 \over 1}=4\)

\({p \over 4p}={1 \over 4}\)

\({-4a \over 10a}=-\frac{2}{5}\)

\({32x \over -4x}=-8\)

\({-8ab \over -20ac}={2b \over 5c}\)

\({-15y \over 40xy}=-{3 \over 8x}\)

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

\({6ab \over b}+{3ac \over c}=6a+3a=9a\)

\(3p+{9 \over 4p}={3p \over 1}⋅{4p \over 4p}+{9 \over 4p}={12p^2 \over 4p}+{9 \over 4p}={12p^2+9 \over 4p}\)

\({8y \over 6x}+{7x \over 9y}={24y^2 \over 18xy}+{14x^2 \over 18xy}={14x^2+24y^2 \over 18xy}={7x^2+12y^2 \over 9xy}\)

\({9 \over a}⋅-{6 \over b}=-{54 \over ab}\)

\({a \over 9}⋅{5 \over b}={5a \over 9b}\)

\(-{8 \over 5}⋅x=-{8x \over 5}\)

\({3y \over x}⋅{x-9 \over 6}={3y(x-9) \over 6x}={y(x-9) \over 2x}={xy-9y \over 2x}\)

\({9 \over a}:{4 \over b}={9 \over a}⋅{b \over 4}={9b \over 4a}\)

\(-{1 \over 4}:a=-{1 \over 4}:{a \over 1}=-{1 \over 4}⋅{1 \over a}=-{1 \over 4a}\)

\(-{2 \over 7}:{x+8y \over y}=-{2 \over 7}⋅{y \over x+8y}=-{2y \over 7(x+8y)}=-{2y \over 7x+56y}\)

\({5p \over 8}+{p+2 \over 9}={45p \over 72}+{8(p+2) \over 72}={45p+8(p+2) \over 72}={53p+16 \over 72}\)

\({5a-2 \over -6a+4}+1={5a-2 \over -6a+4}-{-1(-6a+4) \over -6a+4}={5a-2+1(-6a+4) \over -6a+4}={5a-2-6a+4 \over -6a+4}={-a+2 \over -6a+4}\)

\({x^2-2x+30 \over x}={x^2 \over x}-{2x \over x}+{30 \over x}=x-2+{30 \over x}\)

\({4p^2-3p-7 \over p^2}={4p^2 \over p^2}-{3p \over p^2}-{7 \over p^2}=4-{3 \over p}-{7 \over p^2}\)