Divide and write the answer in lowest terms.
10 divided by two fifths

To divide by a fraction, you multiply by its reciprocal. In this case, you want to divide 10 by \(\frac{2}{5}\).

### Step-by-Step Solution:

1. **Reciprocal of \(\frac{2}{5}\):**  
   The reciprocal of \(\frac{2}{5}\) is \(\frac{5}{2}\).

2. **Multiply 10 by the reciprocal:**  
   \(10 \div \frac{2}{5} = 10 \times \frac{5}{2}\)

3. **Convert 10 to a fraction:**  
   \(10 = \frac{10}{1}\)

   So, the multiplication becomes:  
   \[
   \frac{10}{1} \times \frac{5}{2}
   \]

4. **Multiply the fractions:**  
   \[
   = \frac{10 \times 5}{1 \times 2} = \frac{50}{2}
   \]

5. **Simplify the fraction:**  
   \(\frac{50}{2} = 25\)

### Final Answer:
\[
10 \div \frac{2}{5} = 25
\]

Would you like more details, or do you have any other questions?  

Here are 5 related questions for further practice:
1. What is \(8 \div \frac{1}{4}\)?
2. How do you divide \(\frac{3}{4} \div \frac{2}{3}\)?
3. What is the result of \(15 \div \frac{3}{5}\)?
4. How do you simplify \( \frac{7}{8} \times 8\)?
5. What is the reciprocal of \(\frac{4}{7}\)?

**Tip:** When dividing by a fraction, always remember to multiply by its reciprocal.

Divide and write the answer in lowest terms. 10 divided by two fifths

Learn how to divide 10 by two fifths and simplify the answer to the lowest terms. This detailed guide explains how to multiply by the reciprocal of a fraction, with a step-by-step solution perfect for students in Grades 5-7.

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