To solve the problem of multiplying the fractions [tex]\(\frac{4}{10}\)[/tex] and [tex]\(\frac{5}{6}\)[/tex], follow these steps:
1. Write down the fractions:
[tex]\[
\frac{4}{10} \quad \text{and} \quad \frac{5}{6}
\][/tex]
2. Convert the fractions to decimal form to make the multiplication easier:
[tex]\[
\frac{4}{10} = 0.4 \quad \text{and} \quad \frac{5}{6} \approx 0.8333333333333334
\][/tex]
3. Multiply these decimal values:
[tex]\[
0.4 \times 0.8333333333333334 = 0.33333333333333337
\][/tex]
4. Interpret the product back in fractional form if necessary:
Although working with decimals is equivalent and simpler in this context, note that the product of the original fractions can also be expressed in a simplified fraction form, but for this solution, we'll stick with the decimal interpretation.
So, the product of [tex]\(\frac{4}{10}\)[/tex] and [tex]\(\frac{5}{6}\)[/tex] is approximately [tex]\(0.33333333333333337\)[/tex].
