$\displaystyle \frac{7}8{+\frac{2}{4}}$

In order to solve this problem, we first have to find common denominators. $\displaystyle \frac{2}{4}\times\frac{2}{2}=\frac{4}{8}$

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator. 

$\displaystyle \frac{7}{8}+\frac{4}{8}=\frac{11}{8}$

$\displaystyle \frac{11}{8}=1\frac{3}{8}$ because $\displaystyle 8$ can go into $\displaystyle 11$ one time with $\displaystyle 3$ left over. 

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

In order to solve this problem, we first have to find common denominators. 

$\displaystyle \frac{3}5{} \times\frac{3}{3}=\frac{9}{15}$

$\displaystyle \frac{1}{3}\times\frac{5}{5}=\frac{5}{15}$

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator. 

$\displaystyle \frac{9}{15}+\frac{5}{15}=\frac{14}{15}$

$\displaystyle \frac{2}{3}-\frac{3}{5}$

In order to solve this problem, we first have to find common denominators. 

$\displaystyle \frac{2}{3}\times\frac{5}{5}=\frac{10}{15}$

$\displaystyle \frac{3}{5}\times \frac{3}{3}=\frac{9}{15}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator. 

$\displaystyle \frac{10}{15}-\frac{9}{15}=\frac{1}{15}$

$\displaystyle \frac{7}{8}-\frac{3}{16}$

In order to solve this problem, we first have to find common denominators. 

$\displaystyle \frac{7}{8}\times\frac{2}{2}=\frac{14}{16}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator. 

$\displaystyle \frac{14}{16}-\frac{3}{16}=\frac{11}{16}$

$\displaystyle \small \frac{1}{2}\div\frac{2}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

$\displaystyle \small \frac{1}{2}\times\frac{3}{2}=\frac{3}{4}$

$\displaystyle \small \frac{1}{7}\div\frac{2}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

$\displaystyle \small \frac{1}{7}\times\frac{3}{2}=\frac{3}{14}$

$\displaystyle \small \frac{2}{9}\div\frac{1}{2}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

$\displaystyle \small \frac{2}{9}\times\frac{2}{1}=\frac{4}{9}$

$\displaystyle \small \frac{3}{4}\div\frac{1}{5}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

$\displaystyle \small \frac{3}{4}\times\frac{5}{1}=\frac{15}{4}$

$\displaystyle \small \frac{3}{14}\div\frac{1}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

$\displaystyle \small \frac{3}{14}\times\frac{3}{1}=\frac{9}{14}$

$\displaystyle \small \frac{5}{6}\div\frac{1}{3}$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator. 

$\displaystyle \small \frac{5}{6}\times\frac{3}{1}=\frac{15}{6}$