Solve 17-(314/25+62/5)

$$17 - ( 3 \frac { 14 } { 25 } + \frac { 62 } { 5 } )$$

Evaluate

$$\frac{26}{25}=1.04$$

Solution Steps

Multiply 3 and 25 to get 75.

$$17-\left(\frac{75+14}{25}+\frac{62}{5}\right)$$

Add 75 and 14 to get 89.

$$17-\left(\frac{89}{25}+\frac{62}{5}\right)$$

Least common multiple of 25 and 5 is 25. Convert \frac{89}{25} and \frac{62}{5} to fractions with denominator 25.

$$17-\left(\frac{89}{25}+\frac{310}{25}\right)$$

Since \frac{89}{25} and \frac{310}{25} have the same denominator, add them by adding their numerators.

$$17-\frac{89+310}{25}$$

Add 89 and 310 to get 399.

$$17-\frac{399}{25}$$

Convert 17 to fraction \frac{425}{25}.

$$\frac{425}{25}-\frac{399}{25}$$

Since \frac{425}{25} and \frac{399}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{425-399}{25}$$

Subtract 399 from 425 to get 26.

$$\frac{26}{25}$$

Factor

$$\frac{2 \cdot 13}{5 ^ {2}} = 1\frac{1}{25} = 1.04$$