Question

What is 2/20 + 10/75

Answer 1

$\text{Hey there!}$

$\text{What is }\dfrac{2}{20}+\dfrac{10}{75}$

$\text{For the LCD (Lowest Common Denominator) it should be equal to 300}$

$\dfrac{2\times15}{20\times15}+\dfrac{10\times4}{75\times4}$

$\bf{2\times15=30}\\\bf{20\times15=300}\\\\\bf{10\times4=40}\\\bf{75\times4=300}$

$\text{Your new equation}\rightarrow\dfrac{30}{300}+\dfrac{40}{300}$

$\text{With the denominators being alike we can leave the same}$

$\text{New equation}\rightarrow\dfrac{30+40}{300}$

$\text{30 + 40 = 70}$

$\text{New equation}\rightarrow\dfrac{70}{100}$

$\text{Since both of the terms have 10 in their like terms, let's divide both sides by it}$

$\dfrac{70\div10}{300\div10}$

$\bf{70\div10=7}$ $\leftarrow\text{Your numerator}$

$\bf{300\div10=30}$ $\leftarrow\text{Your denominator}$

$\boxed{\bf{Thus,\ your\ answer\ should\ be:\dfrac{7}{30}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

$\frak{LoveYourselfFirst:)}$