Chapter 12.8, Problem 37S

To determine

To evaluate: the given expression.

Answer to Problem 37S

The required solution is 475

Explanation of Solution

Given: $\frac{11(96)+219+10(15)}{3}$

Calculation:

Consider the expression

  $\frac{11(96)+219+10(15)}{3}$

The objective is to find the value of the expression.

To find the value of the expression first simplify the numerator and the divide the numerator by the term.

In the numerator remove the bracket by multiplying the terms and then add the terms.

The value of the numerator term is

  $\begin{array}{l}11(96)+219+10(15)=1056+219+150\\ =1425\end{array}$

Now check whether the numerator is divisible by $3$ or not. If divisible by $3$ then divide the numerator by $3$ and write the answer.

  $\begin{array}{l}\frac{11(96)+219+10(15)}{3}=\frac{1425}{3}\\ =475\end{array}$

Therefore,

  $\frac{11(96)+219+10(15)}{3}=475$

Conclusion:

Therefore,the required solution is 475