The expression "7 over 30 divided by 1 over 3" can be written as:

\[
\frac{7}{30} \div \frac{1}{3}
\]

To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. The reciprocal of \(\frac{1}{3}\) is \(\frac{3}{1}\). Thus, the operation becomes:

\[
\frac{7}{30} \times \frac{3}{1} = \frac{7 \times 3}{30 \times 1} = \frac{21}{30}
\]

Now, simplify \(\frac{21}{30}\) by dividing both the numerator and denominator by their greatest common divisor, which is 3:

\[
\frac{21 \div 3}{30 \div 3} = \frac{7}{10}
\]

So, the result of \(\frac{7}{30} \div \frac{1}{3}\) is:

\[
\frac{7}{10}
\]

Would you like further details on how the division of fractions works or another explanation?

Here are 5 related questions:
1. What is the result of \(\frac{5}{12} \div \frac{2}{3}\)?
2. How do you multiply and simplify two fractions?
3. What is the reciprocal of a fraction, and how is it used in division?
4. How can you simplify \(\frac{14}{20}\) and what is the greatest common divisor (GCD)?
5. How do you solve a problem involving division of mixed numbers?

**Tip:** When dividing fractions, always remember to multiply by the reciprocal of the divisor!

Learn how to solve the fraction division problem 7/30 ÷ 1/3. This solution walks you through the process of dividing fractions using reciprocals, simplifying the result, and understanding the key concepts. Ideal for students in Grades 5-7.

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