Q11. - Algebra 1

Question

Find each product.

$\frac{56}{100}\cdot \frac{24}{100}$

Step-by-Step Solution

Answer

The product is $\frac{84}{625}$.

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.

$\frac{56}{100}\cdot \frac{24}{100}=\frac{56\cdot 24}{100\cdot 100}$

Step 3. Simplify.

Further simplify the expression.

$$\begin{gathered} \frac{56}{100}\cdot \frac{24}{100}=\frac{56\cdot 24}{100\cdot 100} \\ =\frac{\text{1344}}{10000} \\ =\frac{84}{625} \end{gathered}$$ 

 

Therefore, the product is $\frac{84}{625}$.