Solve {r}{701/6}{+677/12}

$$\left. \begin{array} { r } { 70 \frac { 1 } { 6 } } \\ { + 67 \frac { 7 } { 12 } } \end{array} \right.$$

Evaluate

$$\frac{551}{4}=137.75$$

Solution Steps

Multiply 70 and 6 to get 420.

$$\frac{420+1}{6}+\frac{67\times 12+7}{12}$$

Add 420 and 1 to get 421.

$$\frac{421}{6}+\frac{67\times 12+7}{12}$$

Multiply 67 and 12 to get 804.

$$\frac{421}{6}+\frac{804+7}{12}$$

Add 804 and 7 to get 811.

$$\frac{421}{6}+\frac{811}{12}$$

Least common multiple of 6 and 12 is 12. Convert \frac{421}{6} and \frac{811}{12} to fractions with denominator 12.

$$\frac{842}{12}+\frac{811}{12}$$

Since \frac{842}{12} and \frac{811}{12} have the same denominator, add them by adding their numerators.

$$\frac{842+811}{12}$$

Add 842 and 811 to get 1653.

$$\frac{1653}{12}$$

Reduce the fraction \frac{1653}{12} to lowest terms by extracting and canceling out 3.

$$\frac{551}{4}$$

Factor

$$\frac{19 \cdot 29}{2 ^ {2}} = 137\frac{3}{4} = 137.75$$