Solve {r}{779/16}{-381/4}{-1/16}

$$\left. \begin{array} { r } { 77 \frac { 9 } { 16 } } \\ { - 38 \frac { 1 } { 4 } } \\ { - 1 / 16 } \end{array} \right.$$

Evaluate

$$\frac{157}{4}=39.25$$

Solution Steps

Multiply 77 and 16 to get 1232.

$$\frac{1232+9}{16}-\frac{38\times 4+1}{4}-\frac{1}{16}$$

Add 1232 and 9 to get 1241.

$$\frac{1241}{16}-\frac{38\times 4+1}{4}-\frac{1}{16}$$

Multiply 38 and 4 to get 152.

$$\frac{1241}{16}-\frac{152+1}{4}-\frac{1}{16}$$

Add 152 and 1 to get 153.

$$\frac{1241}{16}-\frac{153}{4}-\frac{1}{16}$$

Least common multiple of 16 and 4 is 16. Convert \frac{1241}{16} and \frac{153}{4} to fractions with denominator 16.

$$\frac{1241}{16}-\frac{612}{16}-\frac{1}{16}$$

Since \frac{1241}{16} and \frac{612}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1241-612}{16}-\frac{1}{16}$$

Subtract 612 from 1241 to get 629.

$$\frac{629}{16}-\frac{1}{16}$$

Since \frac{629}{16} and \frac{1}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{629-1}{16}$$

Subtract 1 from 629 to get 628.

$$\frac{628}{16}$$

Reduce the fraction \frac{628}{16} to lowest terms by extracting and canceling out 4.

$$\frac{157}{4}$$

Factor

$$\frac{157}{2 ^ {2}} = 39\frac{1}{4} = 39.25$$