Question

multiply. write your answer as a fraction in simplest form.\\(\frac{2}{5} \times \frac{10}{7}\\)

Explanation:

Step1: Multiply numerators and denominators

To multiply two fractions, we multiply the numerators together and the denominators together. So for $\frac{2}{5} \times \frac{10}{7}$, we have $(2 \times 10)$ for the new numerator and $(5 \times 7)$ for the new denominator.
$$\frac{2 \times 10}{5 \times 7}=\frac{20}{35}$$

Step2: Simplify the fraction

We can simplify $\frac{20}{35}$ by finding the greatest common divisor (GCD) of 20 and 35, which is 5. Then we divide both the numerator and the denominator by 5.
$$\frac{20 \div 5}{35 \div 5}=\frac{4}{7}$$

Answer:

$\frac{4}{7}$