Add the numbers, then divide by $\displaystyle 5$ or, equivalently, multiply by $\displaystyle \frac{1}{5}$.

$\displaystyle \frac{\frac{2}{5}+ \frac{1}{5}+\frac{1}{2}+\frac{3}{10}+ \frac{2}{5}}{5}$

$\displaystyle \frac{1}{5} \left(\frac{2}{5}+ \frac{1}{5}+\frac{1}{2}+\frac{3}{10}+ \frac{2}{5}\right )$

Find the common denominator of the terms we are adding.

$\displaystyle \frac{1}{5} \left(\frac{4}{10}+ \frac{2}{10}+\frac{5}{10}+\frac{3}{10}+ \frac{4}{10}\right )$

$\displaystyle \frac{1}{5} \left(\frac{4+2+5+3+4}{10} \right)$

Multiply and simplify.

$\displaystyle \frac{1}{5} \left(\frac{18}{10} \right)= \frac{1}{5} \left(\frac{9}{5} \right) = \frac{9}{25}$

This question wants you to add $\displaystyle \frac{1}{4}$ and $\displaystyle \frac{1}{6}$. First, convert both fractions so that they share the same denominator.

$\displaystyle \frac{1}{4}=\frac{3}{12}$

$\displaystyle \frac{1}{6}=\frac{2}{12}$

$\displaystyle \frac{1}{4}+\frac{1}{6}=\frac{3}{12}+\frac{2}{12}=\frac{5}{12}$

To find what fraction of the class plays a sport, add together $\displaystyle \frac{3}{7}$ and $\displaystyle \frac{1}{4}$.

First, convert both fractions so that the denominators are the same.

$\displaystyle \frac{3}{7}=\frac{12}{28}$

$\displaystyle \frac{1}{4}=\frac{7}{28}$

Now, you can add them together.

$\displaystyle \frac{3}{7}+\frac{1}{4}=\frac{12}{28}+\frac{7}{28}=\frac{19}{28}$

To find how much of the pie Peter ate, you will need to add together $\displaystyle \frac{2}{3}$ and $\displaystyle \frac{1}{7}$.

Start by converting both fractions so that the denominators are the same.

$\displaystyle \frac{2}{3}=\frac{14}{21}$

$\displaystyle \frac{1}{7}=\frac{3}{21}$

Now, you can add the fractions.

$\displaystyle \frac{2}{3}+\frac{1}{7}=\frac{14}{21}+\frac{3}{21}=\frac{17}{21}$

To find out how much of his weekly allowance Timothy spends on candy and comic books, add $\displaystyle \frac{2}{9}$ and $\displaystyle \frac{1}{5}$ together.

To do so, you need to first convert both fractions so that they have the same denominator.

$\displaystyle \frac{2}{9}=\frac{10}{45}$

$\displaystyle \frac{1}{5}=\frac{9}{45}$

Now you can add together the fractions.

$\displaystyle \frac{2}{9}+\frac{1}{5}=\frac{10}{45}+\frac{9}{45}=\frac{19}{45}$

To find out what fraction of the jar are red and blue marbles, add $\displaystyle \frac{12}{25}$ and $\displaystyle \frac{1}{5}$ together.

First, you need to convert the fractions so that they have the same denominator. Since $\displaystyle 25$ is a multiple of $\displaystyle 5$, you only need to change one fraction.

$\displaystyle \frac{1}{5}=\frac{5}{25}$

Now, add the fractions together.

$\displaystyle \frac{12}{25}+\frac{1}{5}=\frac{12}{25}+\frac{5}{25}=\frac{17}{25}$

To find how much sugar he used in total, add $\displaystyle \frac{1}{13}$ and $\displaystyle \frac{3}{26}$ together.

First, make sure that both fractions have the same denominator before you add them. Since $\displaystyle 26$ is a multiple of $\displaystyle 13$, you will need to convert $\displaystyle \frac{1}{13}$ into $\displaystyle \frac{2}{26}$ by multiplying both numerator and denominators by $\displaystyle 2$.

Now, add the fractions.

$\displaystyle \frac{1}{13}+\frac{3}{26}=\frac{2}{26}+\frac{3}{26}=\frac{5}{26}$

You will need to add together $\displaystyle \frac{1}{10}$ and $\displaystyle \frac{1}{2}$.

Since $\displaystyle 10$ is a multiple of $\displaystyle 2$, we can use $\displaystyle 10$ as the common denominator.

Then, $\displaystyle \frac{1}{2}=\frac{5}{10}$

$\displaystyle \frac{1}{10}+\frac{1}{2}=\frac{1}{10}+\frac{5}{10}=\frac{6}{10}=\frac{3}{5}$

To figure out how much cake Michael ate, you will need to add the two fractions given in the question.

First, find the common denominator of both fractions and convert them so that they have that denominator.

$\displaystyle \frac{5}{8}=\frac{15}{24}$

$\displaystyle \frac{1}{6}=\frac{4}{24}$

Now, add the fractions.

$\displaystyle \frac{5}{8}+\frac{1}{6}=\frac{15}{24}+\frac{4}{24}=\frac{19}{24}$

Add the fractions together. In order to do so, you will need to convert $\displaystyle \frac{1}{5}$ so that it shares the same denominator as $\displaystyle \frac{29}{100}$.

$\displaystyle \frac{1}{5}=\frac{20}{100}$

Now, add the fractions.

$\displaystyle \frac{1}{5}+\frac{29}{100}=\frac{20}{100}+\frac{29}{100}=\frac{49}{100}$