Let's subtract \( 3 \frac{1}{5} \) from \( 1 \frac{3}{10} \):

1. Convert the mixed numbers into improper fractions:

\[
3 \frac{1}{5} = \frac{16}{5}, \quad 1 \frac{3}{10} = \frac{13}{10}
\]

2. Find a common denominator for the fractions. The least common denominator between 5 and 10 is 10. So, convert \( \frac{16}{5} \) to have a denominator of 10:

\[
\frac{16}{5} = \frac{32}{10}
\]

3. Now subtract the fractions:

\[
\frac{32}{10} - \frac{13}{10} = \frac{32 - 13}{10} = \frac{19}{10}
\]

4. Convert the improper fraction \( \frac{19}{10} \) back to a mixed number:

\[
\frac{19}{10} = 1 \frac{9}{10}
\]

So, \( 3 \frac{1}{5} - 1 \frac{3}{10} = 1 \frac{9}{10} \).

Would you like more details, or do you have any questions?

Here are 5 related questions:
1. How do you convert mixed numbers to improper fractions?
2. What is the least common denominator, and how is it used?
3. How do you subtract fractions with different denominators?
4. What are improper fractions, and how are they converted back to mixed numbers?
5. How can you add and subtract mixed numbers efficiently?

**Tip:** Always simplify fractions whenever possible to make calculations easier.

Learn how to subtract the mixed numbers 3 1/5 and 1 3/10 step by step. This guide explains the process of converting mixed numbers to improper fractions, finding a common denominator, and performing the subtraction, suitable for students in Grades 4-6.

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