Solve {r}{-1.8^2+1.8*4*4/5-3}{*1.8*0.6}

$$\left. \begin{array} { r } { - 1.8 ^ { 2 } + 1.8 \times 4 \times \frac { 4 } { 5 } - 3 } \\ { \times 1.8 \times 0.6 } \end{array} \right.$$

Evaluate

$$-0.72$$

Solution Steps

Calculate 1.8 to the power of 2 and get 3.24.

$$-3.24+1.8\times 4\times \frac{4}{5}-3\times 1.8\times 0.6$$

Multiply 1.8 and 4 to get 7.2.

$$-3.24+7.2\times \frac{4}{5}-3\times 1.8\times 0.6$$

Convert decimal number 7.2 to fraction \frac{72}{10}. Reduce the fraction \frac{72}{10} to lowest terms by extracting and canceling out 2.

$$-3.24+\frac{36}{5}\times \frac{4}{5}-3\times 1.8\times 0.6$$

Multiply \frac{36}{5} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$-3.24+\frac{36\times 4}{5\times 5}-3\times 1.8\times 0.6$$

Do the multiplications in the fraction \frac{36\times 4}{5\times 5}.

$$-3.24+\frac{144}{25}-3\times 1.8\times 0.6$$

Convert decimal number -3.24 to fraction -\frac{324}{100}. Reduce the fraction -\frac{324}{100} to lowest terms by extracting and canceling out 4.

$$-\frac{81}{25}+\frac{144}{25}-3\times 1.8\times 0.6$$

Since -\frac{81}{25} and \frac{144}{25} have the same denominator, add them by adding their numerators.

$$\frac{-81+144}{25}-3\times 1.8\times 0.6$$

Add -81 and 144 to get 63.

$$\frac{63}{25}-3\times 1.8\times 0.6$$

Multiply 3 and 1.8 to get 5.4.

$$\frac{63}{25}-5.4\times 0.6$$

Multiply 5.4 and 0.6 to get 3.24.

$$\frac{63}{25}-3.24$$

Convert decimal number 3.24 to fraction \frac{324}{100}. Reduce the fraction \frac{324}{100} to lowest terms by extracting and canceling out 4.

$$\frac{63}{25}-\frac{81}{25}$$

Since \frac{63}{25} and \frac{81}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{63-81}{25}$$

Subtract 81 from 63 to get -18.

$$-\frac{18}{25}$$

Factor

$$-0.72$$