Solve 15^2/51-15/152

$$\frac { 15 ^ { 2 } } { 51 } - \frac { 15 } { 15 } 2$$

Evaluate

$$\frac{41}{17}\approx 2.411764706$$

Solution Steps

Divide 15 by 15 to get 1.

$$\frac{15^{2}}{51}-1\times 2$$

Calculate 15 to the power of 2 and get 225.

$$\frac{225}{51}-1\times 2$$

Reduce the fraction \frac{225}{51} to lowest terms by extracting and canceling out 3.

$$\frac{75}{17}-1\times 2$$

Multiply 1 and 2 to get 2.

$$\frac{75}{17}-2$$

Convert 2 to fraction \frac{34}{17}.

$$\frac{75}{17}-\frac{34}{17}$$

Since \frac{75}{17} and \frac{34}{17} have the same denominator, subtract them by subtracting their numerators.

$$\frac{75-34}{17}$$

Subtract 34 from 75 to get 41.

$$\frac{41}{17}$$

Factor

$$\frac{41}{17} = 2\frac{7}{17} = 2.411764705882353$$