Someone help with these two questions. just making sure if what i wrote is correct.

[tex] \quad\hookrightarrow\quad \sf {\dfrac{1}{2} }[/tex]
[tex] \quad\hookrightarrow\quad \sf { \dfrac{31d-6}{14}}[/tex]
ㅤ
➲ Question 1 :
[tex] \quad\dashrightarrow\quad \sf { \dfrac{15p+15}{10p-20}\div \dfrac{p+3}{p-2} }[/tex]
[tex] \quad = \quad \sf { \dfrac{5p+15}{10p-20}\times \dfrac{p-2}{p+3}}[/tex]
[tex] \quad = \quad \sf {\dfrac{p(5p+15)-2(5p+15)}{p(10p-20)+3(10p-20)} }[/tex]
[tex] \quad = \quad \sf {\dfrac{5p^2 +15p -10p -30}{10p^2 -20p+30p-60} }[/tex]
[tex] \quad = \quad \sf {\dfrac{5p^2 +5p -30}{10p^2 +10p -60} }[/tex]
[tex] \quad = \quad \sf { \dfrac{5\cancel{(p^2+p-6)}}{10\cancel{(p^2+p-6)}}}[/tex]
[tex] \quad = \quad \sf {\cancel{\dfrac{5}{10}} }[/tex]
[tex] \quad = \quad{\pmb{ \sf { \dfrac{1}{2}}}}[/tex]
➲ Question 2 :
[tex] \quad\dashrightarrow\quad \sf {\dfrac{5d}{2}-\dfrac{2d+3}{7} }[/tex]
[tex] \quad = \quad \sf { \dfrac{5d\times 7 - (2d+3)\times 2}{14}}[/tex]
[tex] \quad = \quad \sf { \dfrac{35d-(4d+6)}{14}}[/tex]
[tex] \quad = \quad \sf { \dfrac{35d-4d-6}{14}}[/tex]
[tex] \quad = \quad{\pmb{ \sf { \dfrac{31d-6}{14}}}}[/tex]
[tex]\rule{350pt}{2pt} [/tex]