Answer :
[tex]\text{Hey there!}[/tex]
[tex]\text{What is }\dfrac{2}{20}+\dfrac{10}{75}[/tex]
[tex]\text{For the LCD (Lowest Common Denominator) it should be equal to 300}[/tex]
[tex]\dfrac{2\times15}{20\times15}+\dfrac{10\times4}{75\times4}[/tex]
[tex]\bf{2\times15=30}\\\bf{20\times15=300}\\\\\bf{10\times4=40}\\\bf{75\times4=300}[/tex]
[tex]\text{Your new equation}\rightarrow\dfrac{30}{300}+\dfrac{40}{300}[/tex]
[tex]\text{With the denominators being alike we can leave the same}[/tex]
[tex]\text{New equation}\rightarrow\dfrac{30+40}{300}[/tex]
[tex]\text{30 + 40 = 70}[/tex]
[tex]\text{New equation}\rightarrow\dfrac{70}{100}[/tex]
[tex]\text{Since both of the terms have 10 in their like terms, let's divide both sides by it}[/tex]
[tex]\dfrac{70\div10}{300\div10}[/tex]
[tex]\bf{70\div10=7}[/tex] [tex]\leftarrow\text{Your numerator}[/tex]
[tex]\bf{300\div10=30}[/tex] [tex]\leftarrow\text{Your denominator}[/tex]
[tex]\boxed{\bf{Thus,\ your\ answer\ should\ be:\dfrac{7}{30}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
[tex]\frak{LoveYourselfFirst:)}[/tex]