https://file.aiquickdraw.com/mathbot/file/1725904250735xs9tu0af.jpg

The problem in the image is asking you to evaluate:

\[
\frac{4}{7} \div \left( -\frac{3}{2} \right)
\]

To solve this, we can follow these steps:

### Step 1: Rewrite Division as Multiplication
When dividing by a fraction, we multiply by the reciprocal of that fraction. So:

\[
\frac{4}{7} \div \left( -\frac{3}{2} \right) = \frac{4}{7} \times \left( -\frac{2}{3} \right)
\]

### Step 2: Multiply the Fractions
Now, multiply the numerators and denominators:

\[
\frac{4}{7} \times \left( -\frac{2}{3} \right) = \frac{4 \times -2}{7 \times 3} = \frac{-8}{21}
\]

So the result is:

\[
\frac{-8}{21}
\]

The correct answer is **d) \(\frac{-8}{21}\)**.

Would you like a detailed explanation or have any questions?

Here are some related questions you might want to explore:
1. How do you divide two fractions?
2. What is the reciprocal of a fraction and how is it used?
3. Can division by a fraction result in a negative number?
4. How do you simplify the result of multiplying two fractions?
5. What other real-world problems can be modeled using fraction division?

**Tip**: When dividing fractions, always multiply by the reciprocal of the divisor fraction.

This problem demonstrates how to divide fractions, specifically dividing 4/7 by -3/2. The solution involves multiplying by the reciprocal of the divisor fraction. 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