Question

Find each product.

$\frac{5}{12}\cdot \frac{6}{11}$

Short answer

The product is $\frac{5}{22}$.

Step-by-step solution

Step 1. Define the concept.

Multiplying rational numbers: - Let a, b, c, and d be numbers with$b\ne 0$ and $d\ne 0$. Then $\frac{a}{b}\cdot \frac{c}{d}=\frac{ac}{bd}$.

Step 2. Multiply the numerator and denominator. 

To find the product of the expression, first multiply the numerator and denominator.

$\frac{5}{12}\cdot \frac{6}{11}=\frac{5\cdot 6}{12\cdot 11}$

Step 3. Simplify.

Further simplify the expression.

$$\begin{gathered} \frac{5}{12}\cdot \frac{6}{11}=\frac{5\cdot 6}{12\cdot 11} \\ =\frac{30}{132} \\ =\frac{5}{22} \end{gathered}$$

Therefore, the product is $\frac{5}{22}$.