What is Three-fourths divided by one-sixth?

To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.

Given:
\[
\frac{3}{4} \div \frac{1}{6}
\]

Step 1: Find the reciprocal of \(\frac{1}{6}\), which is \(\frac{6}{1}\).

Step 2: Multiply \(\frac{3}{4}\) by \(\frac{6}{1}\):
\[
\frac{3}{4} \times \frac{6}{1} = \frac{3 \times 6}{4 \times 1} = \frac{18}{4}
\]

Step 3: Simplify \(\frac{18}{4}\):
\[
\frac{18}{4} = \frac{9}{2} = 4.5
\]

So, \(\frac{3}{4} \div \frac{1}{6} = 4.5\).

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the result of dividing \(\frac{5}{8}\) by \(\frac{2}{3}\)?
2. How do you multiply two fractions together?
3. How do you simplify the fraction \(\frac{18}{4}\) to \(\frac{9}{2}\)?
4. What is the reciprocal of a fraction, and why is it important in division?
5. How can you convert the fraction \(\frac{9}{2}\) into a mixed number?

**Tip:** Always remember that when dividing by a fraction, you multiply by its reciprocal.

Learn how to divide fractions step-by-step. Calculate three-fourths divided by one-sixth using the reciprocal method. This problem explores fractions and division, suitable for Grades 5-6.

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