Sure, let's evaluate the given expression step-by-step.
We need to multiply two fractions: [tex]\(\frac{2}{5}\)[/tex] and [tex]\(\frac{3}{7}\)[/tex].
Step 1: Write down the fractions you need to multiply:
[tex]\[ \frac{2}{5} \times \frac{3}{7} \][/tex]
Step 2: Multiply the numerators (the top numbers) together:
[tex]\[ 2 \times 3 = 6 \][/tex]
Step 3: Multiply the denominators (the bottom numbers) together:
[tex]\[ 5 \times 7 = 35 \][/tex]
Step 4: Put the results from Steps 2 and 3 together to form a new fraction:
[tex]\[ \frac{6}{35} \][/tex]
Step 5: Convert the fraction into a decimal to get the final result:
[tex]\[ \frac{6}{35} \approx 0.17142857142857143 \][/tex]
Therefore, [tex]\(\frac{2}{5} \times \frac{3}{7} \approx 0.17142857142857143\)[/tex].
