Question

duct be less than \\(\frac{2}{3}\\), equal to \\(\frac{2}{3}\\), or greater than \\(\frac{2}{3}\\)?
\\(\frac{2}{3} \times \frac{7}{5}\\)
less than \\(\frac{2}{3}\\) equal to \\(\frac{2}{3}\\) greater than \\(\frac{2}{3}\\)

Explanation:

Step1: Analyze the multiplier

The multiplier here is $\frac{7}{5}$. Since $\frac{7}{5} > 1$ (because $7 > 5$), when we multiply a number by a value greater than 1, the result will be greater than the original number.

Step2: Compare the product with $\frac{2}{3}$

We have the multiplication $\frac{2}{3} \times \frac{7}{5}$. Let's calculate the product: $\frac{2\times7}{3\times5} = \frac{14}{15}$. Now, convert $\frac{2}{3}$ to fifteenths: $\frac{2}{3}=\frac{10}{15}$. Since $\frac{14}{15} > \frac{10}{15}$, the product $\frac{2}{3} \times \frac{7}{5}$ is greater than $\frac{2}{3}$.

Answer:

Greater than $\frac{2}{3}$