Solve 30-(1-58/10)+1.6

$$30 - ( 1 - 5 \frac { 8 } { 10 } ) + 1.6$$

Evaluate

$$36.4$$

Solution Steps

Multiply 5 and 10 to get 50.

$$30-\left(1-\frac{50+8}{10}\right)+1.6$$

Add 50 and 8 to get 58.

$$30-\left(1-\frac{58}{10}\right)+1.6$$

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

$$30-\left(1-\frac{29}{5}\right)+1.6$$

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

$$30-\left(\frac{5}{5}-\frac{29}{5}\right)+1.6$$

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

$$30-\frac{5-29}{5}+1.6$$

Subtract 29 from 5 to get -24.

$$30-\left(-\frac{24}{5}\right)+1.6$$

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

$$30+\frac{24}{5}+1.6$$

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

$$\frac{150}{5}+\frac{24}{5}+1.6$$

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

$$\frac{150+24}{5}+1.6$$

Add 150 and 24 to get 174.

$$\frac{174}{5}+1.6$$

Convert decimal number 1.6 to fraction \frac{16}{10}. Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$\frac{174}{5}+\frac{8}{5}$$

Since \frac{174}{5} and \frac{8}{5} have the same denominator, add them by adding their numerators.

$$\frac{174+8}{5}$$

Add 174 and 8 to get 182.

$$\frac{182}{5}$$

Factor

$$\frac{2 \cdot 7 \cdot 13}{5} = 36\frac{2}{5} = 36.4$$