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Let's solve each of these multiplication problems involving fractions step-by-step.

### Problem 16:
\[
\frac{5}{8} \times \frac{1}{2}
\]

- Multiply the numerators: \(5 \times 1 = 5\)
- Multiply the denominators: \(8 \times 2 = 16\)

Thus, the product is:
\[
\frac{5}{16}
\]

### Problem 20:
\[
\frac{5}{7} \times \frac{7}{8}
\]

- Multiply the numerators: \(5 \times 7 = 35\)
- Multiply the denominators: \(7 \times 8 = 56\)

The product is:
\[
\frac{35}{56}
\]
Now, simplify this fraction by dividing both the numerator and denominator by 7:
\[
\frac{35 \div 7}{56 \div 7} = \frac{5}{8}
\]

### Problem 24:
\[
6 \times \frac{7}{8}
\]
To multiply a whole number by a fraction, treat the whole number as a fraction with a denominator of 1:
\[
\frac{6}{1} \times \frac{7}{8}
\]

- Multiply the numerators: \(6 \times 7 = 42\)
- Multiply the denominators: \(1 \times 8 = 8\)

Thus, the product is:
\[
\frac{42}{8}
\]
Now simplify by dividing both the numerator and denominator by 2:
\[
\frac{42 \div 2}{8 \div 2} = \frac{21}{4}
\]
As a mixed number, this is:
\[
5 \frac{1}{4}
\]

### Problem 28:
\[
\frac{5}{6} \times \frac{2}{9}
\]

- Multiply the numerators: \(5 \times 2 = 10\)
- Multiply the denominators: \(6 \times 9 = 54\)

The product is:
\[
\frac{10}{54}
\]
Simplify by dividing both the numerator and denominator by 2:
\[
\frac{10 \div 2}{54 \div 2} = \frac{5}{27}
\]

---

Would you like more details on any of these steps or have questions?

Here are 5 related questions you might find useful:
1. How do you simplify a fraction after multiplication?
2. What is the rule for multiplying fractions by whole numbers?
3. Can improper fractions always be converted into mixed numbers?
4. How can you multiply mixed numbers directly?
5. What other operations can be performed on fractions besides multiplication?

**Tip:** Always simplify your answer after performing operations on fractions to express it in its simplest form!

Solve the following fraction multiplication problems: 1) 5/8 * 1/2, 2) 5/7 * 7/8, 3) 6 * 7/8, 4) 5/6 * 2/9.

Learn how to solve fraction multiplication problems such as 5/8 * 1/2 and 5/7 * 7/8 with step-by-step solutions. This guide covers simplifying fractions, multiplying whole numbers by fractions, and converting improper fractions to mixed numbers. Suitable for Grades 5-7 students.

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