Sure, let's walk through the steps of multiplying the two fractions [tex]\( \frac{1}{3} \)[/tex] and [tex]\( \frac{2}{5} \)[/tex].
1. Identify the fractions: We have [tex]\( \frac{1}{3} \)[/tex] and [tex]\( \frac{2}{5} \)[/tex].
2. Multiply the numerators:
[tex]\[
1 \times 2 = 2
\][/tex]
3. Multiply the denominators:
[tex]\[
3 \times 5 = 15
\][/tex]
4. Combine the results into a fraction:
[tex]\[
\frac{2}{15}
\][/tex]
So, the product of [tex]\( \frac{1}{3} \)[/tex] and [tex]\( \frac{2}{5} \)[/tex] is [tex]\( \frac{2}{15} \)[/tex].
