Q8. - Algebra 1

Question

Find each product.

$\frac{4}{19}\cdot \frac{7}{20}$

Step-by-Step Solution

Answer

The product is $\frac{7}{95}$.

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.

 $\frac{4}{19}\cdot \frac{7}{20}=\frac{4\cdot 7}{19\cdot 20}$

Step 3. Simplify.

Further simplify the expression.

 $$\begin{gathered} \frac{4\cdot 7}{19\cdot 20}=\frac{28}{380} \\ =\frac{7}{95} \end{gathered}$$

 

Therefore, the product is $\frac{7}{95}$.