Solve 75+[110-68/135)*25

$$75 + [ \frac { 110 - 68 } { 135 } ) \times 25$$

Evaluate

$$\frac{745}{9}\approx 82.777777778$$

Solution Steps

Subtract 68 from 110 to get 42.

$$75+\frac{42}{135}\times 25$$

Reduce the fraction \frac{42}{135} to lowest terms by extracting and canceling out 3.

$$75+\frac{14}{45}\times 25$$

Express \frac{14}{45}\times 25 as a single fraction.

$$75+\frac{14\times 25}{45}$$

Multiply 14 and 25 to get 350.

$$75+\frac{350}{45}$$

Reduce the fraction \frac{350}{45} to lowest terms by extracting and canceling out 5.

$$75+\frac{70}{9}$$

Convert 75 to fraction \frac{675}{9}.

$$\frac{675}{9}+\frac{70}{9}$$

Since \frac{675}{9} and \frac{70}{9} have the same denominator, add them by adding their numerators.

$$\frac{675+70}{9}$$

Add 675 and 70 to get 745.

$$\frac{745}{9}$$

Factor

$$\frac{5 \cdot 149}{3 ^ {2}} = 82\frac{7}{9} = 82.77777777777777$$