The expression in the image is:

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

Let's break it down step by step:

1. Convert the mixed fraction $1 \frac{2}{5}$ to an improper fraction: $1 \frac{2}{5} = \frac{5}{5} + \frac{2}{5} = \frac{7}{5}$

2. Find a common denominator for the terms. The denominators are 10 and 5, so the least common denominator (LCD) is 10.

   • Rewrite $\frac{7}{5}$ with denominator 10: $\frac{7}{5} = \frac{14}{10}$

3. Perform the addition and subtraction:

   $\frac{3}{10} + \frac{3}{10} + \frac{5}{10} - \frac{14}{10}$

   Combine the numerators: $\frac{3 + 3 + 5 - 14}{10} = \frac{11 - 14}{10} = \frac{-3}{10}$

Thus, the result is:

$\frac{-3}{10}$

Would you like any further explanation or details?

Here are some related questions you might find useful:

1. How do you convert mixed fractions to improper fractions?
2. What is the least common denominator and how is it found?
3. How do you add or subtract fractions with different denominators?
4. Can you explain how to simplify the final result when adding or subtracting fractions?
5. What other operations can be performed with fractions?

Tip: When dealing with fractions, always ensure the denominators are the same before performing addition or subtraction.