Question

multiply the fractions:

\\\frac{5}{7} \cdot \frac{2}{3} \cdot \frac{3}{4}\\

write the final product in simplified form. use / between the numerator and denominator. for example, if your answer is \\(\frac{1}{2}\\), type 1/2. do not include spaces in your response.

Explanation:

Multiply the numerators and denominators

$$ \frac{5}{7} \cdot \frac{2}{3} \cdot \frac{3}{4} = \frac{5 \cdot 2 \cdot 3}{7 \cdot 3 \cdot 4} $$

Simplify the expression by canceling common factors

$$ \frac{5 \cdot 2 \cdot 3}{7 \cdot 3 \cdot 4} = \frac{5 \cdot 2}{7 \cdot 4} = \frac{5 \cdot 1}{7 \cdot 2} = \frac{5}{14} $$

Answer:

Multiply the fractions:

$$\frac{5}{7} \cdot \frac{2}{3} \cdot \frac{3}{4}$$

Write the final product in simplified form. Use / between the numerator and denominator. For example, if your answer is \(\frac{1}{2}\), type 1/2. Do not include spaces in your response.
<blank>5/14</blank>