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?

---

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!

Learn how to subtract mixed numbers with different denominators, like 9 3/5 - 4 3/10. This step-by-step guide covers converting mixed numbers to improper fractions, finding the least common denominator, and simplifying the result back into a mixed number. Suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation