1/5+3/2

To add the fractions \( \frac{1}{5} \) and \( \frac{3}{2} \), you first need to find a common denominator. The least common multiple (LCM) of the denominators 5 and 2 is 10.

Now, convert each fraction to have a denominator of 10:

• Convert \( \frac{1}{5} \): \[ \frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{2}{10} \]

• Convert \( \frac{3}{2} \): \[ \frac{3}{2} = \frac{3 \times 5}{2 \times 5} = \frac{15}{10} \]

Now, add the two fractions: \[ \frac{2}{10} + \frac{15}{10} = \frac{2 + 15}{10} = \frac{17}{10} \]

Thus, the result of \( \frac{1}{5} + \frac{3}{2} \) is \( \frac{17}{10} \) or \( 1.7 \) in decimal form.