Solve 131/8+21^31/4

$$13 \frac { 1 } { 8 } + 21 ^ { 3 } \frac { 1 } { 4 }$$

Evaluate

$$\frac{18627}{8}=2328.375$$

Solution Steps

Multiply 13 and 8 to get 104.

$$\frac{104+1}{8}+21^{3}\times \frac{1}{4}$$

Add 104 and 1 to get 105.

$$\frac{105}{8}+21^{3}\times \frac{1}{4}$$

Calculate 21 to the power of 3 and get 9261.

$$\frac{105}{8}+9261\times \frac{1}{4}$$

Multiply 9261 and \frac{1}{4} to get \frac{9261}{4}.

$$\frac{105}{8}+\frac{9261}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{105}{8} and \frac{9261}{4} to fractions with denominator 8.

$$\frac{105}{8}+\frac{18522}{8}$$

Since \frac{105}{8} and \frac{18522}{8} have the same denominator, add them by adding their numerators.

$$\frac{105+18522}{8}$$

Add 105 and 18522 to get 18627.

$$\frac{18627}{8}$$

Factor

$$\frac{3 \cdot 7 \cdot 887}{2 ^ {3}} = 2328\frac{3}{8} = 2328.375$$