Perform the indicated operation. Then use a calculator to check your work.
one fifth
plusseven tenths


Let's perform the indicated operation step by step.

You are asked to add \(\frac{1}{5}\) and \(\frac{7}{10}\).

1. **Find a common denominator**:  
   The least common denominator (LCD) for 5 and 10 is 10.

2. **Convert the fractions**:  
   - Convert \(\frac{1}{5}\) to a fraction with a denominator of 10:
     \[
     \frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{2}{10}
     \]
   - \(\frac{7}{10}\) is already expressed with a denominator of 10.

3. **Add the fractions**:  
   Now that both fractions have the same denominator, add the numerators:
   \[
   \frac{2}{10} + \frac{7}{10} = \frac{2 + 7}{10} = \frac{9}{10}
   \]

So, \(\frac{1}{5} + \frac{7}{10} = \frac{9}{10}\).

### Checking with a Calculator:
Using a calculator, you can check the addition:
\[
\frac{1}{5} + \frac{7}{10} = 0.2 + 0.7 = 0.9
\]
\(\frac{9}{10}\) is indeed equivalent to 0.9.

The operation was performed correctly.

Would you like any more details or have any other questions?

### Follow-up Questions:
1. What is the result of \(\frac{2}{5} + \frac{3}{10}\)?
2. How do you subtract \(\frac{3}{4}\) from \(\frac{5}{6}\)?
3. What is the sum of \(\frac{1}{3}\) and \(\frac{2}{9}\)?
4. How do you multiply two fractions, for example, \(\frac{2}{5} \times \frac{7}{10}\)?
5. How do you simplify the fraction \(\frac{15}{35}\)?

**Tip:** Always find the least common denominator when adding or subtracting fractions to simplify the calculation.

Learn how to add fractions step-by-step: 1/5 + 7/10. Understand the concept of finding a common denominator, converting fractions, and performing addition. Check your work with a calculator. Suitable for students in Grades 4-6.

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