Solve 28.47div7.3+4^2*(-19)-(-12.9)

$$28.47 \div 7.3 + 4 ^ { 2 } \times ( - 19 ) - ( - 12.9 )$$

Evaluate

$$-287.2$$

Solution Steps

Expand \frac{28.47}{7.3} by multiplying both numerator and the denominator by 100.

$$\frac{2847}{730}+4^{2}\left(-19\right)-\left(-12.9\right)$$

Reduce the fraction \frac{2847}{730} to lowest terms by extracting and canceling out 73.

$$\frac{39}{10}+4^{2}\left(-19\right)-\left(-12.9\right)$$

Calculate 4 to the power of 2 and get 16.

$$\frac{39}{10}+16\left(-19\right)-\left(-12.9\right)$$

Multiply 16 and -19 to get -304.

$$\frac{39}{10}-304-\left(-12.9\right)$$

Convert 304 to fraction \frac{3040}{10}.

$$\frac{39}{10}-\frac{3040}{10}-\left(-12.9\right)$$

Since \frac{39}{10} and \frac{3040}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{39-3040}{10}-\left(-12.9\right)$$

Subtract 3040 from 39 to get -3001.

$$-\frac{3001}{10}-\left(-12.9\right)$$

The opposite of -12.9 is 12.9.

$$-\frac{3001}{10}+12.9$$

Convert decimal number 12.9 to fraction \frac{129}{10}.

$$-\frac{3001}{10}+\frac{129}{10}$$

Since -\frac{3001}{10} and \frac{129}{10} have the same denominator, add them by adding their numerators.

$$\frac{-3001+129}{10}$$

Add -3001 and 129 to get -2872.

$$\frac{-2872}{10}$$

Reduce the fraction \frac{-2872}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{1436}{5}$$

Factor

$$-287.2$$