Question

Simplify$\frac{7·4-2(8-5)}{9·3-3·5}$

Short answer

On simplifying $\frac{7·4-2(8-5)}{9·3-3·5}$, we get $\frac{11}{6}$

Step-by-step solution

Step 1. Given information

The given expression is

$\frac{7·4-2(8-5)}{9·3-3·5}$

We have to simplify the given expression.

Step 2. Simplify the numerator and denominator 

$\begin{array}{l}\Rightarrow \frac{7·4-2(8-5)}{9·3-3·5}=\frac{28-2\left(3\right)}{27-15}\\ =\frac{28-6}{12}\\ =\frac{22}{12}\end{array}$

Step 3. Simplify the fraction 

$\begin{array}{l}\Rightarrow \frac{7·4-2(8-5)}{9·3-3·5}=\frac{22}{12}\\ =\frac{11}{6}\end{array}$