Solve {l}{25/8+11/16}{-34/16}

$$\left. \begin{array} { l } { \frac { 25 } { 8 } + \frac { 11 } { 16 } } \\ { - \frac { 34 } { 16 } } \end{array} \right.$$

Evaluate

$$\frac{27}{16}=1.6875$$

Solution Steps

Least common multiple of 8 and 16 is 16. Convert \frac{25}{8} and \frac{11}{16} to fractions with denominator 16.

$$\frac{50}{16}+\frac{11}{16}-\frac{34}{16}$$

Since \frac{50}{16} and \frac{11}{16} have the same denominator, add them by adding their numerators.

$$\frac{50+11}{16}-\frac{34}{16}$$

Add 50 and 11 to get 61.

$$\frac{61}{16}-\frac{34}{16}$$

Since \frac{61}{16} and \frac{34}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{61-34}{16}$$

Subtract 34 from 61 to get 27.

$$\frac{27}{16}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {4}} = 1\frac{11}{16} = 1.6875$$