Q78. - Algebra 1

Question

Find each product. Express in simplest form.

$\frac{63}{65}\cdot \frac{120}{126}$

Step-by-Step Solution

Answer

The value of the expression is $\frac{12}{13}$.

Step 1. Write the given information.

The given expression is

$\frac{63}{65}\cdot \frac{120}{126}$

Step 2. Description of the step is.

The product of any two rational numbers is obtained by multiplying the numerator of the first fraction with the numerator of the second fraction and similarly denominators with each other and then reducing it in a simple fraction by diving.

Step 3. Calculation.

$\begin{array}{l}\frac{63}{65}\cdot \frac{120}{126}=\frac{63\times 120}{65\times 126}\\ =\frac{7560}{8190}\\ =\frac{756}{819}\\ =\frac{252}{273}\\ =\frac{84}{91}\\ =\frac{12}{13}\end{array}$

Thus

$\frac{63}{65}\cdot \frac{120}{126}=\frac{12}{13}$