Chapter 1.2, Problem 8CYU

To determine

To Evaluate: The expression $\frac{11-8}{1+7\cdot 2}$

Answer to Problem 8CYU

  $\frac{11-8}{1+7\cdot 2}=\frac{1}{5}$

Explanation of Solution

Given information:

The expression $\frac{11-8}{1+7\cdot 2}$

Concept and Formula Used:

Rule of exponent and addition and subtraction.

  $a^n=a\times a\times a\times \mathrm{..................}n\text{ times}\text{.}$

BODMAS rule

Calculation:

The given expression is $\frac{11-8}{1+7\cdot 2}$

Solving the product in the denominator

  $\begin{array}{l}\frac{11-8}{1+7\cdot 2}=\frac{11-8}{1+14}\\ \text{Now adding and subtracting}\\ \frac{11-8}{1+7\cdot 2}=\frac{3}{15}\\ \text{On simplifying}\\ \frac{11-8}{1+7\cdot 2}=\frac{1}{5}\end{array}$

Conclusion:

  $\frac{11-8}{1+7\cdot 2}=\frac{1}{5}$