Solve 211/4+36/8=

$$2 \frac { 11 } { 4 } + 3 \frac { 6 } { 8 } =$$

Evaluate

$$\frac{17}{2}=8.5$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+11}{4}+\frac{3\times 8+6}{8}$$

Add 8 and 11 to get 19.

$$\frac{19}{4}+\frac{3\times 8+6}{8}$$

Multiply 3 and 8 to get 24.

$$\frac{19}{4}+\frac{24+6}{8}$$

Add 24 and 6 to get 30.

$$\frac{19}{4}+\frac{30}{8}$$

Reduce the fraction \frac{30}{8} to lowest terms by extracting and canceling out 2.

$$\frac{19}{4}+\frac{15}{4}$$

Since \frac{19}{4} and \frac{15}{4} have the same denominator, add them by adding their numerators.

$$\frac{19+15}{4}$$

Add 19 and 15 to get 34.

$$\frac{34}{4}$$

Reduce the fraction \frac{34}{4} to lowest terms by extracting and canceling out 2.

$$\frac{17}{2}$$

Factor

$$\frac{17}{2} = 8\frac{1}{2} = 8.5$$