To solve the equation \( \frac{3}{7} \div \frac{1}{4} \), we use the rule mentioned earlier:

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

Now, multiply the fractions:

\[
\frac{3 \times 4}{7 \times 1} = \frac{12}{7}
\]

So, the answer is \( \frac{12}{7} \), which can also be written as the mixed number \( 1 \frac{5}{7} \) if you prefer.

Do you want details or have any questions?

---

**Related Questions:**

1. How do you convert \( \frac{12}{7} \) into a mixed number?
2. What is the decimal equivalent of \( \frac{12}{7} \)?
3. How do you simplify improper fractions?
4. What is the result of \( \frac{5}{8} \div \frac{3}{4} \)?
5. Can you multiply fractions with whole numbers?
6. How do you find the least common denominator of two fractions?
7. What is the importance of reciprocal in fraction division?
8. How do you check the correctness of a fraction operation?

**Tip:** When working with improper fractions, converting them to mixed numbers can make them easier to interpret.

Learn how to solve \( \frac{3}{7} \div \frac{1}{4} \) with a step-by-step solution. Understand the multiplication rule for division of fractions. Includes the answer \( \frac{12}{7} \) and its mixed number form \( 1 \frac{5}{7} \). Suitable for students in Grades 5-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation