Divide $$ \frac{2}{5} \div \frac{1}{6} $$. Write the answer as a mixed number in lowest terms.

Question

UpStudy AI · Accepted Answer

To divide $$\frac{2}{5}$$ by $$\frac{1}{6}$$, follow these steps:

1. **Change the division to multiplication by the reciprocal:**
   $$
   \frac{2}{5} \div \frac{1}{6} = \frac{2}{5} \times \frac{6}{1}
   $$

2. **Multiply the numerators and the denominators:**
   $$
   \frac{2 \times 6}{5 \times 1} = \frac{12}{5}
   $$

3. **Convert the improper fraction to a mixed number:**
   $$
   \frac{12}{5} = 2 \frac{2}{5}
   $$

So, the result of $$\frac{2}{5} \div \frac{1}{6}$$ as a mixed number in lowest terms is:

$$
2\,\frac{2}{5}
$$
The answer is $$2\,\frac{2}{5}$$.

Divide \( \frac{2}{5} \div \frac{1}{6} \). Write the answer as a mixed number in lowest terms.