Q7. - Algebra 1

Question

Find each product.

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

Step-by-Step Solution

Answer

The product is $\frac{5}{6}$.

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.

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

Step 3. Simplify.

Further simplify the expression.

$$\begin{gathered} \frac{5}{4}\cdot \frac{2}{3}=\frac{10}{12} \\ =\frac{5}{6} \end{gathered}$$

Therefore, the product is $\frac{5}{6}$.