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multiply. write your answer as a fraction in simplest form.\\(\frac{7}{…

Question

multiply. write your answer as a fraction in simplest form.\\(\frac{7}{8} \times \frac{1}{5} \times \frac{3}{7}\\)

Explanation:

Step1: Cancel common factors

Notice that 7 in the numerator of the first fraction and 7 in the denominator of the third fraction can be canceled. So we have $\frac{\cancel{7}}{8} \times \frac{1}{5} \times \frac{3}{\cancel{7}}$.

Step2: Multiply the remaining numerators and denominators

Multiply the numerators: $1\times1\times3 = 3$. Multiply the denominators: $8\times5\times1 = 40$. So the result is $\frac{3}{40}$.

Answer:

$\frac{3}{40}$