1 Find the sum of $$ \frac{2}{5}, \frac{3}{4} $$ and $$ \frac{3}{10} $$

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1. Find a common denominator for $$ \frac{2}{5} $$, $$ \frac{3}{4} $$, and $$ \frac{3}{10} $$. The prime factorizations are:
   - $$5 = 5$$
   - $$4 = 2^2$$
   - $$10 = 2 \times 5$$
   
   The least common denominator is $$2^2 \times 5 = 20$$.

2. Convert each fraction to an equivalent fraction with denominator $$20$$:
   - $$ \frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20} $$
   - $$ \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} $$
   - $$ \frac{3}{10} = \frac{3 \times 2}{10 \times 2} = \frac{6}{20} $$

3. Add the fractions:
   $$
   \frac{8}{20} + \frac{15}{20} + \frac{6}{20} = \frac{8 + 15 + 6}{20} = \frac{29}{20}
   $$

The sum is $$ \frac{29}{20} $$.
The sum is $$ \frac{29}{20} $$.

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