### Instruction: What is $\frac{2}{5}$ divided by 3?### Response: I need to find the quotient of $\frac{2}{5}$ and 3, which means how many times 3 goes into $\frac{2}{5}$ or what number times 3 equals $\frac{2}{5}$.
I know that dividing by a number is the same as multiplying by its reciprocal, so I can rewrite the problem as $\frac{2}{5}$ times $\frac{1}{3}$.
To multiply two fractions, I multiply the numerators and the denominators separately.
So I get $\frac{2}{5}$ times $\frac{1}{3}$ equals $\frac{2 \times 1}{5 \times 3}$.
I can simplify this by multiplying 2 and 1 to get 2 in the numerator, and multiplying 5 and 3 to get 15 in the denominator.
So the fraction becomes $\frac{2}{15}$.
This is the simplest form of the fraction, so I can stop here.