Solve 30-(1-58/10)+16

$$30 - ( 1 - 5 \frac { 8 } { 10 } ) + 16$$

Evaluate

$$\frac{254}{5}=50.8$$

Solution Steps

Multiply 5 and 10 to get 50.

$$30-\left(1-\frac{50+8}{10}\right)+16$$

Add 50 and 8 to get 58.

$$30-\left(1-\frac{58}{10}\right)+16$$

Reduce the fraction \frac{58}{10} to lowest terms by extracting and canceling out 2.

$$30-\left(1-\frac{29}{5}\right)+16$$

Convert 1 to fraction \frac{5}{5}.

$$30-\left(\frac{5}{5}-\frac{29}{5}\right)+16$$

Since \frac{5}{5} and \frac{29}{5} have the same denominator, subtract them by subtracting their numerators.

$$30-\frac{5-29}{5}+16$$

Subtract 29 from 5 to get -24.

$$30-\left(-\frac{24}{5}\right)+16$$

The opposite of -\frac{24}{5} is \frac{24}{5}.

$$30+\frac{24}{5}+16$$

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

$$\frac{150}{5}+\frac{24}{5}+16$$

Since \frac{150}{5} and \frac{24}{5} have the same denominator, add them by adding their numerators.

$$\frac{150+24}{5}+16$$

Add 150 and 24 to get 174.

$$\frac{174}{5}+16$$

Convert 16 to fraction \frac{80}{5}.

$$\frac{174}{5}+\frac{80}{5}$$

Since \frac{174}{5} and \frac{80}{5} have the same denominator, add them by adding their numerators.

$$\frac{174+80}{5}$$

Add 174 and 80 to get 254.

$$\frac{254}{5}$$

Factor

$$\frac{2 \cdot 127}{5} = 50\frac{4}{5} = 50.8$$