Solve: $\frac{3}{10}+\frac{2}{5}+\frac{3}{2}$

For the addition of unlike fractions, first, change them to like fractions.

LCM of 10, 5, 2 = 10

Now, let us change each of the given fractions into an equivalent fraction having 10 as the denominator.

Therefore,

$\frac{2}{5}=\frac{2\times 2}{5\times 2}=\frac{4}{10}$

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

Now,

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

$=\frac{3}{10}+\frac{4}{10}+\frac{15}{10}$

$=\frac{3+4+15}{10}$

$=\frac{22}{10}$

$=\frac{\mathbf{11}}{\mathbf{5}}$