Solve 40+[100-25/54]*10

$$40 + [ \frac { 100 - 25 } { 54 } ] \times 10$$

Evaluate

$$\frac{485}{9}\approx 53.888888889$$

Solution Steps

Subtract 25 from 100 to get 75.

$$40+\frac{75}{54}\times 10$$

Reduce the fraction \frac{75}{54} to lowest terms by extracting and canceling out 3.

$$40+\frac{25}{18}\times 10$$

Express \frac{25}{18}\times 10 as a single fraction.

$$40+\frac{25\times 10}{18}$$

Multiply 25 and 10 to get 250.

$$40+\frac{250}{18}$$

Reduce the fraction \frac{250}{18} to lowest terms by extracting and canceling out 2.

$$40+\frac{125}{9}$$

Convert 40 to fraction \frac{360}{9}.

$$\frac{360}{9}+\frac{125}{9}$$

Since \frac{360}{9} and \frac{125}{9} have the same denominator, add them by adding their numerators.

$$\frac{360+125}{9}$$

Add 360 and 125 to get 485.

$$\frac{485}{9}$$

Factor

$$\frac{5 \cdot 97}{3 ^ {2}} = 53\frac{8}{9} = 53.888888888888886$$