Solve {r}{813/16}{+97/8}

$$\left. \begin{array} { r } { 8 \frac { 13 } { 16 } } \\ { + 9 \frac { 7 } { 8 } } \end{array} \right.$$

Evaluate

$$\frac{299}{16}=18.6875$$

Solution Steps

Multiply 8 and 16 to get 128.

$$\frac{128+13}{16}+\frac{9\times 8+7}{8}$$

Add 128 and 13 to get 141.

$$\frac{141}{16}+\frac{9\times 8+7}{8}$$

Multiply 9 and 8 to get 72.

$$\frac{141}{16}+\frac{72+7}{8}$$

Add 72 and 7 to get 79.

$$\frac{141}{16}+\frac{79}{8}$$

Least common multiple of 16 and 8 is 16. Convert \frac{141}{16} and \frac{79}{8} to fractions with denominator 16.

$$\frac{141}{16}+\frac{158}{16}$$

Since \frac{141}{16} and \frac{158}{16} have the same denominator, add them by adding their numerators.

$$\frac{141+158}{16}$$

Add 141 and 158 to get 299.

$$\frac{299}{16}$$

Factor

$$\frac{13 \cdot 23}{2 ^ {4}} = 18\frac{11}{16} = 18.6875$$