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

1. First, convert both mixed numbers to improper fractions:
   \[
   3 \frac{3}{5} = \frac{3 \times 5 + 3}{5} = \frac{15 + 3}{5} = \frac{18}{5}
   \]
   \[
   1 \frac{3}{10} = \frac{1 \times 10 + 3}{10} = \frac{10 + 3}{10} = \frac{13}{10}
   \]

2. Now subtract the fractions:
   \[
   \frac{18}{5} - \frac{13}{10}
   \]
   To subtract these, find a common denominator. The least common denominator of 5 and 10 is 10. Convert \( \frac{18}{5} \) to have a denominator of 10:
   \[
   \frac{18}{5} = \frac{18 \times 2}{5 \times 2} = \frac{36}{10}
   \]

3. Now subtract the fractions:
   \[
   \frac{36}{10} - \frac{13}{10} = \frac{36 - 13}{10} = \frac{23}{10}
   \]

4. Convert \( \frac{23}{10} \) back to a mixed number:
   \[
   \frac{23}{10} = 2 \frac{3}{10}
   \]

Thus, the result is \( 2 \frac{3}{10} \).

Would you like any further details or have any questions?

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Here are 5 related questions:
1. How do you add two mixed numbers?
2. What is the process to convert improper fractions back into mixed numbers?
3. How can you find the least common denominator of two fractions?
4. How do you subtract mixed numbers when the first number is smaller than the second?
5. How do you handle subtraction when the denominators are large numbers?

**Tip:** When dealing with mixed numbers, always convert them to improper fractions first for easier addition or subtraction!

Learn how to subtract mixed numbers by converting them into improper fractions. This step-by-step solution explains the subtraction of 3 3/5 and 1 3/10, including how to find the least common denominator and simplify the result. Perfect for students in Grades 5-6.

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