### Instruction: What is the product of $\frac{1}{5}$ and $\frac{3}{7}$ ?### Response: I know that to multiply fractions, I just need to multiply the numerators and the denominators separately.
So, the product of $\frac{1}{5}$ and $\frac{3}{7}$ is $\frac{1 \times 3}{5 \times 7}$.
To simplify this fraction, I can look for any common factors in the numerator and the denominator that I can cancel out.
In this case, there are no common factors, so the fraction is already in its simplest form.
I can also write the fraction as a decimal by dividing the numerator by the denominator.