Solve 17327:17+17^235+150:8=

$$17327 : 17 + 17 ^ { 2 } 35 + 150 : 8 =$$

Evaluate

$$\frac{758403}{68}\approx 11152.985294118$$

Solution Steps

Calculate 17 to the power of 2 and get 289.

$$\frac{17327}{17}+289\times 35+\frac{150}{8}$$

Multiply 289 and 35 to get 10115.

$$\frac{17327}{17}+10115+\frac{150}{8}$$

Convert 10115 to fraction \frac{171955}{17}.

$$\frac{17327}{17}+\frac{171955}{17}+\frac{150}{8}$$

Since \frac{17327}{17} and \frac{171955}{17} have the same denominator, add them by adding their numerators.

$$\frac{17327+171955}{17}+\frac{150}{8}$$

Add 17327 and 171955 to get 189282.

$$\frac{189282}{17}+\frac{150}{8}$$

Reduce the fraction \frac{150}{8} to lowest terms by extracting and canceling out 2.

$$\frac{189282}{17}+\frac{75}{4}$$

Least common multiple of 17 and 4 is 68. Convert \frac{189282}{17} and \frac{75}{4} to fractions with denominator 68.

$$\frac{757128}{68}+\frac{1275}{68}$$

Since \frac{757128}{68} and \frac{1275}{68} have the same denominator, add them by adding their numerators.

$$\frac{757128+1275}{68}$$

Add 757128 and 1275 to get 758403.

$$\frac{758403}{68}$$

Factor

$$\frac{3 ^ {5} \cdot 3121}{2 ^ {2} \cdot 17} = 11152\frac{67}{68} = 11152.985294117647$$