https://file.aiquickdraw.com/mathbot/file/1725904801977ty5qgj1j.jpg

The image provides two methods to divide \(\frac{3}{10}\) by \(0.4\).

### Method 1: Using Decimals
1. Convert \(\frac{3}{10}\) to a decimal:  
   \(\frac{3}{10} = 0.3\).
   
2. Perform the division:  
   \(0.3 \div 0.4\).

3. Multiply both numbers by 10 to eliminate the decimals:  
   \(3 \div 4 = 0.75\).

Thus, \(\frac{3}{10} \div 0.4 = 0.75\).

### Method 2: Using Fractions
1. Convert \(0.4\) to a fraction:  
   \(0.4 = \frac{2}{5}\).

2. Set up the division:  
   \(\frac{3}{10} \div \frac{2}{5}\).

3. To divide by a fraction, multiply by the reciprocal:  
   \(\frac{3}{10} \times \frac{5}{2} = \frac{3 \times 5}{10 \times 2} = \frac{15}{20} = \frac{3}{4} = 0.75\).

Both methods show that \(\frac{3}{10} \div 0.4 = 0.75\).

### Additional Note:
It is also suggested that \(0.4\) can be expressed as \(\frac{4}{10} = \frac{2}{5}\).

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Would you like further details or explanations on any of these methods?

### Related Questions:
1. How do you convert a decimal to a fraction?
2. What are other ways to simplify fractions?
3. How do you perform division with decimals using long division?
4. Can you explain how to multiply fractions?
5. Why do you multiply by the reciprocal when dividing by a fraction?

**Tip:** When dividing by a decimal, it often helps to convert the decimal to a fraction or multiply by 10 to simplify the calculation.

Divide 3/10 by 0.4 using two different methods.

Learn how to divide the fraction 3/10 by the decimal 0.4 using two different methods: converting to decimals and using fraction multiplication. Suitable for students in Grades 5-7.

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