Solve 45-((75-80/50*5)

$$45-(( \frac{ 75-80 }{ 50 } \times 5)$$

Evaluate

$$\frac{91}{2}=45.5$$

Solution Steps

Subtract 80 from 75 to get -5.

$$45-\frac{-5}{50}\times 5$$

Reduce the fraction \frac{-5}{50} to lowest terms by extracting and canceling out 5.

$$45-\left(-\frac{1}{10}\times 5\right)$$

Express -\frac{1}{10}\times 5 as a single fraction.

$$45-\frac{-5}{10}$$

Reduce the fraction \frac{-5}{10} to lowest terms by extracting and canceling out 5.

$$45-\left(-\frac{1}{2}\right)$$

The opposite of -\frac{1}{2} is \frac{1}{2}.

$$45+\frac{1}{2}$$

Convert 45 to fraction \frac{90}{2}.

$$\frac{90}{2}+\frac{1}{2}$$

Since \frac{90}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{90+1}{2}$$

Add 90 and 1 to get 91.

$$\frac{91}{2}$$

Factor

$$\frac{7 \cdot 13}{2} = 45\frac{1}{2} = 45.5$$