Solve 4683/15-(262/15)^2

$$\frac { 4683 } { 15 } - ( \frac { 262 } { 15 } ) ^ { 2 }$$

Evaluate

$$\frac{1601}{225}\approx 7.115555556$$

Solution Steps

Reduce the fraction \frac{4683}{15} to lowest terms by extracting and canceling out 3.

$$\frac{1561}{5}-\left(\frac{262}{15}\right)^{2}$$

Calculate \frac{262}{15} to the power of 2 and get \frac{68644}{225}.

$$\frac{1561}{5}-\frac{68644}{225}$$

Least common multiple of 5 and 225 is 225. Convert \frac{1561}{5} and \frac{68644}{225} to fractions with denominator 225.

$$\frac{70245}{225}-\frac{68644}{225}$$

Since \frac{70245}{225} and \frac{68644}{225} have the same denominator, subtract them by subtracting their numerators.

$$\frac{70245-68644}{225}$$

Subtract 68644 from 70245 to get 1601.

$$\frac{1601}{225}$$

Factor

$$\frac{1601}{3 ^ {2} \cdot 5 ^ {2}} = 7\frac{26}{225} = 7.115555555555556$$