Solve 3.04^2-2.04^2div0.508

$${ 3.04 }^{ 2 } - { 2.04 }^{ 2 } \div 0.508$$

Evaluate

$$\frac{83302}{79375}\approx 1.049474016$$

Solution Steps

Calculate 3.04 to the power of 2 and get 9.2416.

$$9.2416-\frac{2.04^{2}}{0.508}$$

Calculate 2.04 to the power of 2 and get 4.1616.

$$9.2416-\frac{4.1616}{0.508}$$

Expand \frac{4.1616}{0.508} by multiplying both numerator and the denominator by 10000.

$$9.2416-\frac{41616}{5080}$$

Reduce the fraction \frac{41616}{5080} to lowest terms by extracting and canceling out 8.

$$9.2416-\frac{5202}{635}$$

Convert decimal number 9.2416 to fraction \frac{92416}{10000}. Reduce the fraction \frac{92416}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{5776}{625}-\frac{5202}{635}$$

Least common multiple of 625 and 635 is 79375. Convert \frac{5776}{625} and \frac{5202}{635} to fractions with denominator 79375.

$$\frac{733552}{79375}-\frac{650250}{79375}$$

Since \frac{733552}{79375} and \frac{650250}{79375} have the same denominator, subtract them by subtracting their numerators.

$$\frac{733552-650250}{79375}$$

Subtract 650250 from 733552 to get 83302.

$$\frac{83302}{79375}$$

Factor

$$\frac{2 \cdot 41651}{127 \cdot 5 ^ {4}} = 1\frac{3927}{79375} = 1.0494740157480316$$