Chapter 1.7, Problem 1MRE

To determine

To simplify: the expression

  $\frac{7\cdot 2+6\cdot 6}{10-6+1}$

Answer to Problem 1MRE

  $\frac{7\cdot 2+6\cdot 6}{10-6+1}=10$

Explanation of Solution

Given:

  $\frac{7\cdot 2+6\cdot 6}{10-6+1}$

Concept Used:

If an expression contains more than one operations between its terms and brackets, first solve the terms inside brackets and then apply division followed by multiplication, addition and subtraction.

Calculation:

To evaluate the expression

  $\frac{7\cdot 2+6\cdot 6}{10-6+1}$

First rewrite the expression as:

  $\frac{7\cdot 2+6\cdot 6}{10-6+1}=\frac{7\times 2+6\times 6}{10-6+1}$

Now solve the expression by solving the numerator and denominator as,

  $\begin{array}{c}\frac{7\times 2+6\times 6}{10-6+1}=\frac{14+36}{4+1}\\ =\frac{50}{5}\\ =10\end{array}$

Thus,

  $\frac{7\cdot 2+6\cdot 6}{10-6+1}=10$