Final answer:
To divide fractions, multiply the first fraction by the reciprocal of the second fraction and simplify.
Step-by-step explanation:
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
So, 1 \frac{1}{5} \div \frac{3}{10} = 1 \frac{1}{5} \times \frac{10}{3}
Now, we can simplify by multiplying the whole numbers and the fractions separately.
1 \times \frac{10}{3} = \frac{10}{3}
So, the final answer is \frac{10}{3}.