To solve $9 \frac{3}{5} - 4 \frac{3}{10}$, follow these steps:

Step 1: Convert the mixed numbers to improper fractions.

• $9 \frac{3}{5} = \frac{48}{5}$ $9 \frac{3}{5} = (9 \times 5 + 3)/5 = \frac{45 + 3}{5} = \frac{48}{5}$
• $4 \frac{3}{10} = \frac{43}{10}$ $4 \frac{3}{10} = (4 \times 10 + 3)/10 = \frac{40 + 3}{10} = \frac{43}{10}$

Step 2: Find a common denominator.

The least common denominator (LCD) of 5 and 10 is 10.

• Convert $\frac{48}{5}$ to have a denominator of 10: $\frac{48}{5} = \frac{96}{10}$

Step 3: Subtract the fractions.

$\frac{96}{10} - \frac{43}{10} = \frac{96 - 43}{10} = \frac{53}{10}$

Step 4: Convert the result back to a mixed number.

$\frac{53}{10} = 5 \frac{3}{10}$

Final Answer:

$9 \frac{3}{5} - 4 \frac{3}{10} = 5 \frac{3}{10}$.

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

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Here are 5 related questions to expand on this:

1. How do you add mixed numbers?
2. What are the steps to convert an improper fraction to a mixed number?
3. How do you find the least common denominator between two fractions?
4. Can you solve $7 \frac{1}{4} + 3 \frac{2}{5}$?
5. What happens when subtracting mixed numbers with different denominators?

Tip: Always find the least common denominator before subtracting or adding fractions!