tính bằng cách thuận tiện nhất : 3/4 x 2/5 : 3/4 x 10/4

To solve the expression \( \frac{3}{4} \times \frac{2}{5} \div \frac{3}{4} \times \frac{10}{4} \) using the most convenient method, follow these steps:

### Step 1: Simplify the expression
We can rewrite the expression as:
\[
\frac{ \frac{3}{4} \times \frac{2}{5} }{ \frac{3}{4} \times \frac{10}{4} }
\]

### Step 2: Simplify the numerators and denominators separately

1. **Numerator:**
   \[
   \frac{3}{4} \times \frac{2}{5} = \frac{3 \times 2}{4 \times 5} = \frac{6}{20} = \frac{3}{10}
   \]

2. **Denominator:**
   \[
   \frac{3}{4} \times \frac{10}{4} = \frac{3 \times 10}{4 \times 4} = \frac{30}{16} = \frac{15}{8}
   \]

### Step 3: Divide the fractions
Now, divide the simplified numerator by the simplified denominator:
\[
\frac{\frac{3}{10}}{\frac{15}{8}} = \frac{3}{10} \times \frac{8}{15} = \frac{3 \times 8}{10 \times 15} = \frac{24}{150} = \frac{4}{25}
\]

### Final Answer:
\[
\frac{4}{25}
\]

Would you like more details, or do you have any questions about this calculation?

### Follow-Up Questions:
1. How do you simplify a fraction like \(\frac{24}{150}\)?
2. What is the property of division of fractions?
3. How do you multiply two fractions together?
4. Why is it useful to simplify fractions before multiplying or dividing?
5. What happens if you do not simplify the fractions first?
6. Can you explain how to convert a division of fractions into multiplication?
7. How can we check if the answer is correct?
8. What is the importance of finding the least common multiple (LCM) in fraction operations?

### Tip:
Always simplify fractions at each step to make calculations easier and to reduce the chance of errors.

Learn how to simplify and divide fractions using the problem: 3/4 * 2/5 ÷ 3/4 * 10/4. Follow a step-by-step solution to simplify numerators and denominators separately and divide fractions correctly. Suitable for 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