https://file.aiquickdraw.com/mathbot/file/1727203357398zz8wdzii.jpg

Let's work through each of the exercises in the image, which involve multiplying fractions. I'll explain the steps for each.

### 5) \(\frac{1}{5} \cdot \frac{3}{4}\)

Multiply the numerators and denominators:
\[
\frac{1 \cdot 3}{5 \cdot 4} = \frac{3}{20}
\]

---

### 6) \(\frac{-3}{7} \cdot \left(\frac{-3}{5}\right)\)

Multiply the numerators and denominators, and account for the negative signs:
\[
\frac{-3 \cdot -3}{7 \cdot 5} = \frac{9}{35}
\]

---

### 7) \(-3 \cdot \frac{1}{4}\)

Express \(-3\) as a fraction \(\frac{-3}{1}\) and multiply:
\[
\frac{-3}{1} \cdot \frac{1}{4} = \frac{-3}{4}
\]

---

### 8) \(\frac{7}{8} \cdot \left(\frac{-3}{5}\right)\)

Multiply the numerators and denominators:
\[
\frac{7 \cdot -3}{8 \cdot 5} = \frac{-21}{40}
\]

---

Let me know if you would like me to explain any of the steps in more detail. Here are some additional related questions:

1. How do you multiply two fractions when both have negative values?
2. What happens when you multiply a fraction by a whole number?
3. What is the general rule for multiplying a fraction by zero?
4. How do you simplify the product of two fractions?
5. What is the significance of multiplying fractions in real-world applications?

**Tip**: When multiplying fractions, always simplify the result when possible by dividing the numerator and denominator by their greatest common divisor (GCD).

Solve the following fraction multiplication problems:
1) 1/5 * 3/4
2) -3/7 * (-3/5)
3) -3 * 1/4
4) 7/8 * (-3/5)
5) 3/5 * (-3/7)
6) 1/2 * 3/8
7) 2/3 * (-1/3)
8) 0 * (-3/8)

Learn how to multiply fractions, including negative values and whole numbers, through step-by-step solutions to problems like 1/5 * 3/4 and -3/7 * (-3/5). Perfect for students in Grades 6-8 looking to master fraction multiplication.

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