Solve 4683/15-{left(263/15right)}^2

$$\frac{ 4683 }{ 15 } - { \left( \frac{ 263 }{ 15 } \right) }^{ 2 }$$

Evaluate

$$\frac{1076}{225}\approx 4.782222222$$

Solution Steps

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

$$\frac{1561}{5}-\left(\frac{263}{15}\right)^{2}$$

Calculate \frac{263}{15} to the power of 2 and get \frac{69169}{225}.

$$\frac{1561}{5}-\frac{69169}{225}$$

Least common multiple of 5 and 225 is 225. Convert \frac{1561}{5} and \frac{69169}{225} to fractions with denominator 225.

$$\frac{70245}{225}-\frac{69169}{225}$$

Since \frac{70245}{225} and \frac{69169}{225} have the same denominator, subtract them by subtracting their numerators.

$$\frac{70245-69169}{225}$$

Subtract 69169 from 70245 to get 1076.

$$\frac{1076}{225}$$

Factor

$$\frac{2 ^ {2} \cdot 269}{3 ^ {2} \cdot 5 ^ {2}} = 4\frac{176}{225} = 4.782222222222222$$