Q9. - Algebra 1

Question

Find each product.

$\frac{4}{32}\cdot \frac{7}{32}$

Step-by-Step Solution

Answer

The product is $\frac{7}{256}$.

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 width="91" style="max-width: none; vertical-align: -15px;" $\frac{a}{b}\cdot \frac{c}{d}=\frac{ac}{bd}$.

Step 2. Multiply the numerator and denominator.

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

$\frac{4}{32}\cdot \frac{7}{32}=\frac{4\cdot 7}{32\cdot 32}$

Step 3. Simplify.

Further simplify the expression.

$$\begin{gathered} \frac{4}{32}\cdot \frac{7}{32}=\frac{4\cdot 7}{32\cdot 32} \\ =\frac{28}{\text{1024}} \\ =\frac{7}{256} \end{gathered}$$

Therefore, the product is $\frac{7}{256}$.