Question

multiply these fractions and select the simplified answer.
\\(\frac{3y}{8} cdot \frac{12}{5}\\)
a. \\(\frac{9y}{10}\\) b. \\(\frac{9}{10}\\) c. \\(\frac{15y}{13}\\)
d. \\(\frac{9y}{5}\\) e. \\(\frac{y}{10}\\)

Explanation:

Step1: Multiply numerators and denominators

$$\frac{3y}{8} \cdot \frac{12}{5} = \frac{3y \times 12}{8 \times 5}$$

Step2: Calculate initial product

$$\frac{36y}{40}$$

Step3: Simplify the fraction

Divide numerator and denominator by their greatest common divisor, 4:
$$\frac{36y \div 4}{40 \div 4} = \frac{9y}{10}$$

Answer:

A. $\frac{9y}{10}$