Solve 30+[35*5-69/10]*6

$$30 + [ \frac { 35 \cdot 5 - 69 } { 10 } ] \times 6$$

Evaluate

$$\frac{468}{5}=93.6$$

Solution Steps

Multiply 35 and 5 to get 175.

$$30+\frac{175-69}{10}\times 6$$

Subtract 69 from 175 to get 106.

$$30+\frac{106}{10}\times 6$$

Reduce the fraction \frac{106}{10} to lowest terms by extracting and canceling out 2.

$$30+\frac{53}{5}\times 6$$

Express \frac{53}{5}\times 6 as a single fraction.

$$30+\frac{53\times 6}{5}$$

Multiply 53 and 6 to get 318.

$$30+\frac{318}{5}$$

Convert 30 to fraction \frac{150}{5}.

$$\frac{150}{5}+\frac{318}{5}$$

Since \frac{150}{5} and \frac{318}{5} have the same denominator, add them by adding their numerators.

$$\frac{150+318}{5}$$

Add 150 and 318 to get 468.

$$\frac{468}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 13}{5} = 93\frac{3}{5} = 93.6$$