Solve 257.66-56.2^2/13

$$257.66- \frac{ { 56.2 }^{ 2 } }{ 13 }$$

Evaluate

$$\frac{9557}{650}\approx 14.703076923$$

Solution Steps

Calculate 56.2 to the power of 2 and get 3158.44.

$$257.66-\frac{3158.44}{13}$$

Expand \frac{3158.44}{13} by multiplying both numerator and the denominator by 100.

$$257.66-\frac{315844}{1300}$$

Reduce the fraction \frac{315844}{1300} to lowest terms by extracting and canceling out 4.

$$257.66-\frac{78961}{325}$$

Convert decimal number 257.66 to fraction \frac{25766}{100}. Reduce the fraction \frac{25766}{100} to lowest terms by extracting and canceling out 2.

$$\frac{12883}{50}-\frac{78961}{325}$$

Least common multiple of 50 and 325 is 650. Convert \frac{12883}{50} and \frac{78961}{325} to fractions with denominator 650.

$$\frac{167479}{650}-\frac{157922}{650}$$

Since \frac{167479}{650} and \frac{157922}{650} have the same denominator, subtract them by subtracting their numerators.

$$\frac{167479-157922}{650}$$

Subtract 157922 from 167479 to get 9557.

$$\frac{9557}{650}$$

Factor

$$\frac{19 \cdot 503}{2 \cdot 13 \cdot 5 ^ {2}} = 14\frac{457}{650} = 14.703076923076923$$