https://file.aiquickdraw.com/mathbot/file/17266618173632rndg5qp.jpg

The expression in the image is:

\[
\frac{1}{4} \times 2 \times \frac{2}{7} \div \frac{3}{5}
\]

### Step-by-step Solution:

1. **Handle Division**: Dividing by a fraction is the same as multiplying by its reciprocal:
   \[
   \frac{1}{4} \times 2 \times \frac{2}{7} \times \frac{5}{3}
   \]

2. **Simplify Multiplication**: We can rewrite the expression as a single multiplication:
   \[
   \frac{1}{4} \times 2 \times \frac{2}{7} \times \frac{5}{3}
   = \frac{1 \times 2 \times 2 \times 5}{4 \times 1 \times 7 \times 3}
   = \frac{20}{84}
   \]

3. **Simplify the Fraction**: We can simplify \(\frac{20}{84}\) by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4:
   \[
   \frac{20 \div 4}{84 \div 4} = \frac{5}{21}
   \]

Thus, the result is:

\[
\frac{5}{21}
\]

Would you like more details or have any questions?

### Related Questions:
1. How do you multiply fractions in general?
2. What are the steps to divide fractions?
3. How can you find the GCD of two numbers?
4. How would the answer change if any of the numbers were different?
5. What happens if the expression includes addition or subtraction of fractions?

**Tip**: Always simplify your fractions at the end to get the answer in the simplest form!

Simplify the expression: (1/4) × 2 × (2/7) ÷ (3/5)

Learn how to multiply and divide fractions in this problem involving (1/4) × 2 × (2/7) ÷ (3/5). Detailed step-by-step explanation shows how to simplify fractions, perform the operations, and reduce the final result. Perfect for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation