Solve 3/8*26+7/8*26

$$\frac { 3 } { 8 } \times 26 + \frac { 7 } { 8 } \times 26$$

Evaluate

$$\frac{65}{2}=32.5$$

Solution Steps

Express \frac{3}{8}\times 26 as a single fraction.

$$\frac{3\times 26}{8}+\frac{7}{8}\times 26$$

Multiply 3 and 26 to get 78.

$$\frac{78}{8}+\frac{7}{8}\times 26$$

Reduce the fraction \frac{78}{8} to lowest terms by extracting and canceling out 2.

$$\frac{39}{4}+\frac{7}{8}\times 26$$

Express \frac{7}{8}\times 26 as a single fraction.

$$\frac{39}{4}+\frac{7\times 26}{8}$$

Multiply 7 and 26 to get 182.

$$\frac{39}{4}+\frac{182}{8}$$

Reduce the fraction \frac{182}{8} to lowest terms by extracting and canceling out 2.

$$\frac{39}{4}+\frac{91}{4}$$

Since \frac{39}{4} and \frac{91}{4} have the same denominator, add them by adding their numerators.

$$\frac{39+91}{4}$$

Add 39 and 91 to get 130.

$$\frac{130}{4}$$

Reduce the fraction \frac{130}{4} to lowest terms by extracting and canceling out 2.

$$\frac{65}{2}$$

Factor

$$\frac{5 \cdot 13}{2} = 32\frac{1}{2} = 32.5$$