Question

multiply. write your answer as a fraction in simplest form.
\\(\frac{8}{5} \times \frac{7}{10}\\)

Explanation:

Step1: Multiply numerators and denominators

To multiply two fractions, we multiply the numerators together and the denominators together. So for $\frac{8}{5} \times \frac{7}{10}$, we have:
$$\frac{8 \times 7}{5 \times 10}$$

Step2: Calculate the products

First, calculate the numerator: $8 \times 7 = 56$. Then, calculate the denominator: $5 \times 10 = 50$. So now we have $\frac{56}{50}$.

Step3: Simplify the fraction

We can simplify $\frac{56}{50}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
$$\frac{56 \div 2}{50 \div 2} = \frac{28}{25}$$

Answer:

$\frac{28}{25}$