Question

What is Two-thirds divided by one-sixth?
An area model with 4 shaded parts and 2 unshaded parts. The shaded parts are labeled two-thirds.
2
3
4
6

Answer 1

To divide two-thirds by one-sixth, you can use the method of multiplying by the reciprocal.

1. **Convert the division into multiplication by the reciprocal:**
\[
\frac{2}{3} \div \frac{1}{6} = \frac{2}{3} \times \frac{6}{1}
\]

2. **Multiply the fractions:**
\[
\frac{2 \times 6}{3 \times 1} = \frac{12}{3}
\]

3. **Simplify the result:**
\[
\frac{12}{3} = 4
\]

So, two-thirds divided by one-sixth equals **4**.