Solve =65,5+(30/100*40-7/10)*5

$$= 65,5 + ( \frac { \frac { 30 } { 100 } \times 40 - 7 } { 10 } ) \times 5$$

Evaluate

$$68$$

Solution Steps

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$65.5+\frac{\frac{3}{10}\times 40-7}{10}\times 5$$

Express \frac{3}{10}\times 40 as a single fraction.

$$65.5+\frac{\frac{3\times 40}{10}-7}{10}\times 5$$

Multiply 3 and 40 to get 120.

$$65.5+\frac{\frac{120}{10}-7}{10}\times 5$$

Divide 120 by 10 to get 12.

$$65.5+\frac{12-7}{10}\times 5$$

Subtract 7 from 12 to get 5.

$$65.5+\frac{5}{10}\times 5$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$65.5+\frac{1}{2}\times 5$$

Multiply \frac{1}{2} and 5 to get \frac{5}{2}.

$$65.5+\frac{5}{2}$$

Convert decimal number 65.5 to fraction \frac{655}{10}. Reduce the fraction \frac{655}{10} to lowest terms by extracting and canceling out 5.

$$\frac{131}{2}+\frac{5}{2}$$

Since \frac{131}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

$$\frac{131+5}{2}$$

Add 131 and 5 to get 136.

$$\frac{136}{2}$$

Divide 136 by 2 to get 68.

$$68$$

Factor

$$17\times 2^{2}$$