Solve (2.5div2)^2-729div(1+165-1)

$$( 2.5 \div 2 ) ^ { 2 } - 729 \div ( 1 + 165 - 1 )$$

Evaluate

$$-\frac{2513}{880}\approx -2.855681818$$

Solution Steps

Expand \frac{2.5}{2} by multiplying both numerator and the denominator by 10.

$$\left(\frac{25}{20}\right)^{2}-\frac{729}{1+165-1}$$

Reduce the fraction \frac{25}{20} to lowest terms by extracting and canceling out 5.

$$\left(\frac{5}{4}\right)^{2}-\frac{729}{1+165-1}$$

Calculate \frac{5}{4} to the power of 2 and get \frac{25}{16}.

$$\frac{25}{16}-\frac{729}{1+165-1}$$

Add 1 and 165 to get 166.

$$\frac{25}{16}-\frac{729}{166-1}$$

Subtract 1 from 166 to get 165.

$$\frac{25}{16}-\frac{729}{165}$$

Reduce the fraction \frac{729}{165} to lowest terms by extracting and canceling out 3.

$$\frac{25}{16}-\frac{243}{55}$$

Subtract \frac{243}{55} from \frac{25}{16} to get -\frac{2513}{880}.

$$-\frac{2513}{880}$$

Factor

$$-\frac{2513}{880} = -2\frac{753}{880} = -2.855681818181818$$