Solve (1.8div(0.4)^2)*6.4+8.3-(3.3)^2

$$( 1.8 \div ( 0.4 ) ^ { 2 } ) \times 6.4 + 8.3 - ( 3.3 ) ^ { 2 }$$

Evaluate

$$69.41$$

Solution Steps

Calculate 0.4 to the power of 2 and get 0.16.

$$\frac{1.8}{0.16}\times 6.4+8.3-3.3^{2}$$

Expand \frac{1.8}{0.16} by multiplying both numerator and the denominator by 100.

$$\frac{180}{16}\times 6.4+8.3-3.3^{2}$$

Reduce the fraction \frac{180}{16} to lowest terms by extracting and canceling out 4.

$$\frac{45}{4}\times 6.4+8.3-3.3^{2}$$

Convert decimal number 6.4 to fraction \frac{64}{10}. Reduce the fraction \frac{64}{10} to lowest terms by extracting and canceling out 2.

$$\frac{45}{4}\times \frac{32}{5}+8.3-3.3^{2}$$

Multiply \frac{45}{4} times \frac{32}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45\times 32}{4\times 5}+8.3-3.3^{2}$$

Do the multiplications in the fraction \frac{45\times 32}{4\times 5}.

$$\frac{1440}{20}+8.3-3.3^{2}$$

Divide 1440 by 20 to get 72.

$$72+8.3-3.3^{2}$$

Add 72 and 8.3 to get 80.3.

$$80.3-3.3^{2}$$

Calculate 3.3 to the power of 2 and get 10.89.

$$80.3-10.89$$

Subtract 10.89 from 80.3 to get 69.41.

$$69.41$$

Factor

$$\frac{11 \cdot 631}{2 ^ {2} \cdot 5 ^ {2}} = 69\frac{41}{100} = 69.41$$