Solve 35/8+21/8

$$3 \frac{ 5 }{ 8 } +2 \frac{ 1 }{ 8 }$$

Evaluate

$$\frac{23}{4}=5.75$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{24+5}{8}+\frac{2\times 8+1}{8}$$

Add 24 and 5 to get 29.

$$\frac{29}{8}+\frac{2\times 8+1}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{29}{8}+\frac{16+1}{8}$$

Add 16 and 1 to get 17.

$$\frac{29}{8}+\frac{17}{8}$$

Since \frac{29}{8} and \frac{17}{8} have the same denominator, add them by adding their numerators.

$$\frac{29+17}{8}$$

Add 29 and 17 to get 46.

$$\frac{46}{8}$$

Reduce the fraction \frac{46}{8} to lowest terms by extracting and canceling out 2.

$$\frac{23}{4}$$

Factor

$$\frac{23}{2 ^ {2}} = 5\frac{3}{4} = 5.75$$