Solve {l}{53/4}{+15/6}

$$\left. \begin{array} { l } { 5 \frac { 3 } { 4 } } \\ { + 1 \frac { 5 } { 6 } } \end{array} \right.$$

Evaluate

$$\frac{91}{12}\approx 7.583333333$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{20+3}{4}+\frac{1\times 6+5}{6}$$

Add 20 and 3 to get 23.

$$\frac{23}{4}+\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{23}{4}+\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{23}{4}+\frac{11}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{23}{4} and \frac{11}{6} to fractions with denominator 12.

$$\frac{69}{12}+\frac{22}{12}$$

Since \frac{69}{12} and \frac{22}{12} have the same denominator, add them by adding their numerators.

$$\frac{69+22}{12}$$

Add 69 and 22 to get 91.

$$\frac{91}{12}$$

Factor

$$\frac{7 \cdot 13}{2 ^ {2} \cdot 3} = 7\frac{7}{12} = 7.583333333333333$$