Solve {r}{13/4}{+35/8}

$$\left. \begin{array} { r } { 1 \frac { 3 } { 4 } } \\ { + 3 \frac { 5 } { 8 } } \end{array} \right.$$

Evaluate

$$\frac{43}{8}=5.375$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{4+3}{4}+\frac{3\times 8+5}{8}$$

Add 4 and 3 to get 7.

$$\frac{7}{4}+\frac{3\times 8+5}{8}$$

Multiply 3 and 8 to get 24.

$$\frac{7}{4}+\frac{24+5}{8}$$

Add 24 and 5 to get 29.

$$\frac{7}{4}+\frac{29}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{7}{4} and \frac{29}{8} to fractions with denominator 8.

$$\frac{14}{8}+\frac{29}{8}$$

Since \frac{14}{8} and \frac{29}{8} have the same denominator, add them by adding their numerators.

$$\frac{14+29}{8}$$

Add 14 and 29 to get 43.

$$\frac{43}{8}$$

Factor

$$\frac{43}{2 ^ {3}} = 5\frac{3}{8} = 5.375$$