https://file.aiquickdraw.com/mathbot/file/17262668400165q2b1gwv.jpg

The question asks to calculate:

\[
-2 \frac{3}{4} \times 1 \frac{2}{3}
\]

and write the result as a mixed number in its simplest form.

### Step-by-step solution:

1. **Convert the mixed numbers into improper fractions:**
   - \( -2 \frac{3}{4} \) becomes \( -\frac{11}{4} \) because \( 2 \times 4 + 3 = 11 \), and it remains negative.
   - \( 1 \frac{2}{3} \) becomes \( \frac{5}{3} \) because \( 1 \times 3 + 2 = 5 \).

2. **Multiply the improper fractions:**

\[
-\frac{11}{4} \times \frac{5}{3} = -\frac{11 \times 5}{4 \times 3} = -\frac{55}{12}
\]

3. **Convert the improper fraction \( -\frac{55}{12} \) to a mixed number:**
   - \( 55 \div 12 = 4 \) remainder \( 7 \), so:

\[
-\frac{55}{12} = -4 \frac{7}{12}
\]

Thus, the answer is:

\[
-4 \frac{7}{12}
\]

Would you like further details on any part of this process? 

Here are some related questions:
1. How do you multiply mixed numbers?
2. How do you convert improper fractions back to mixed numbers?
3. Why does multiplying two fractions result in multiplying numerators and denominators?
4. Can you explain how to simplify improper fractions?
5. What are the general rules for dealing with negative fractions?

**Tip:** Always convert mixed numbers to improper fractions before performing multiplication to simplify the process.

What is -2 3/4 x 1 2/3? Write the answer as a mixed number in simplest form.

Learn how to multiply mixed numbers such as -2 3/4 and 1 2/3 and convert the result to a mixed number in its simplest form. This problem covers the key concepts of converting between mixed and improper fractions and applying multiplication rules for rational numbers. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation