Solve (44*28/3-frac{38*29sqrt{3}}{2})*6*0.35

$$( \frac { 44 \times 28 } { 3 } - \frac { 38 \times 29 \sqrt { 3 } } { 2 } ) \times 6 \times 0.35$$

Evaluate

$$-\frac{11571\sqrt{3}}{10}+862.4\approx -1141.755989438$$

Solution Steps

Multiply 0.35 and 6 to get 2.1.

$$2.1\left(\frac{44\times 28}{3}-\frac{29\times 38\sqrt{3}}{2}\right)$$

Multiply 44 and 28 to get 1232.

$$2.1\left(\frac{1232}{3}-\frac{29\times 38\sqrt{3}}{2}\right)$$

Multiply 29 and 38 to get 1102.

$$2.1\left(\frac{1232}{3}-\frac{1102\sqrt{3}}{2}\right)$$

Divide 1102\sqrt{3} by 2 to get 551\sqrt{3}.

$$2.1\left(\frac{1232}{3}-551\sqrt{3}\right)$$

Use the distributive property to multiply 2.1 by \frac{1232}{3}-551\sqrt{3}.

$$2.1\times \frac{1232}{3}+2.1\left(-551\sqrt{3}\right)$$

Convert decimal number 2.1 to fraction \frac{21}{10}.

$$\frac{21}{10}\times \frac{1232}{3}+2.1\left(-551\sqrt{3}\right)$$

Multiply \frac{21}{10} times \frac{1232}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 1232}{10\times 3}+2.1\left(-551\sqrt{3}\right)$$

Do the multiplications in the fraction \frac{21\times 1232}{10\times 3}.

$$\frac{25872}{30}+2.1\left(-551\sqrt{3}\right)$$

Reduce the fraction \frac{25872}{30} to lowest terms by extracting and canceling out 6.

$$\frac{4312}{5}+2.1\left(-551\sqrt{3}\right)$$

Multiply 2.1 and -1 to get -2.1.

$$\frac{4312}{5}-2.1\times 551\sqrt{3}$$

Multiply -2.1 and 551 to get -1157.1.

$$\frac{4312}{5}-1157.1\sqrt{3}$$

Factor

$$\frac{7 {(1232 - 1653 \sqrt{3})}}{10} = -1141.7559894379478$$