Solve -2.4*5^2+3(9.3-4.3)^2/2*2.5*60

$$\frac { - 2.4 \times 5 ^ { 2 } + 3 ( 9.3 - 4.3 ) ^ { 2 } } { 2 \times 2.5 \times 60 }$$

Evaluate

$$0.05$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{-2.4\times 25+3\left(9.3-4.3\right)^{2}}{2\times 2.5\times 60}$$

Multiply -2.4 and 25 to get -60.

$$\frac{-60+3\left(9.3-4.3\right)^{2}}{2\times 2.5\times 60}$$

Subtract 4.3 from 9.3 to get 5.

$$\frac{-60+3\times 5^{2}}{2\times 2.5\times 60}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{-60+3\times 25}{2\times 2.5\times 60}$$

Multiply 3 and 25 to get 75.

$$\frac{-60+75}{2\times 2.5\times 60}$$

Add -60 and 75 to get 15.

$$\frac{15}{2\times 2.5\times 60}$$

Multiply 2 and 2.5 to get 5.

$$\frac{15}{5\times 60}$$

Multiply 5 and 60 to get 300.

$$\frac{15}{300}$$

Reduce the fraction \frac{15}{300} to lowest terms by extracting and canceling out 15.

$$\frac{1}{20}$$

Factor

$$\frac{1}{5 \cdot 2 ^ {2}} = 0.05$$