https://file.aiquickdraw.com/mathbot/file/1725576670682oq76jhpi.jpg

The equation provided in the image is:

\[
1 \frac{3}{5} \times 2 \frac{2}{3}
\]

### Step-by-Step Solution:

1. **Convert Mixed Numbers to Improper Fractions**:
    - \(1 \frac{3}{5}\) can be written as \(\frac{8}{5}\), because \(1 \times 5 + 3 = 8\).
    - \(2 \frac{2}{3}\) can be written as \(\frac{8}{3}\), because \(2 \times 3 + 2 = 8\).

2. **Multiply the Improper Fractions**:
    \[
    \frac{8}{5} \times \frac{8}{3} = \frac{8 \times 8}{5 \times 3} = \frac{64}{15}
    \]

3. **Convert to Mixed Number (if needed)**:
    \[
    \frac{64}{15} = 4 \frac{4}{15}
    \]
    (since 64 divided by 15 is 4 with a remainder of 4).

Thus, the solution is:

\[
4 \frac{4}{15}
\]

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

Here are 5 related questions:
1. How do you convert any mixed number to an improper fraction?
2. What are the steps to multiply two fractions?
3. Can you simplify the result of a fraction multiplication before converting it to a mixed number?
4. How do you convert an improper fraction to a mixed number?
5. What are some strategies to estimate the result of multiplying two mixed numbers?

**Tip:** Always remember to simplify fractions when possible before converting to mixed numbers to make calculations easier.

Learn how to multiply mixed numbers with a step-by-step guide using the example 1 3/5 x 2 2/3. This lesson covers converting mixed numbers to improper fractions, multiplying the fractions, and converting the result back to a mixed number. Ideal for Grades 5-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation