Solve -24/25*1/2-7/25*frac{sqrt{3}}{2}

$$- \frac { 24 } { 25 } \times \frac { 1 } { 2 } - \frac { 7 } { 25 } \times \frac { \sqrt { 3 } } { 2 }$$

Evaluate

$$-\frac{7\sqrt{3}}{50}-\frac{12}{25}\approx -0.722487113$$

Short Solution Steps

Multiply -\frac{24}{25} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-24}{25\times 2}-\frac{7}{25}\times \frac{\sqrt{3}}{2}$$

Do the multiplications in the fraction \frac{-24}{25\times 2}.

$$\frac{-24}{50}-\frac{7}{25}\times \frac{\sqrt{3}}{2}$$

Reduce the fraction \frac{-24}{50} to lowest terms by extracting and canceling out 2.

$$-\frac{12}{25}-\frac{7}{25}\times \frac{\sqrt{3}}{2}$$

Multiply \frac{7}{25} times \frac{\sqrt{3}}{2} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{12}{25}-\frac{7\sqrt{3}}{25\times 2}$$

Multiply 25 and 2 to get 50.

$$-\frac{12}{25}-\frac{7\sqrt{3}}{50}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 25 and 50 is 50. Multiply -\frac{12}{25} times \frac{2}{2}.

$$-\frac{12\times 2}{50}-\frac{7\sqrt{3}}{50}$$

Since -\frac{12\times 2}{50} and \frac{7\sqrt{3}}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-12\times 2-7\sqrt{3}}{50}$$

Do the multiplications in -12\times 2-7\sqrt{3}.

$$\frac{-24-7\sqrt{3}}{50}$$

Factor

$$\frac{-7 \sqrt{3} - 24}{50} = -0.7224871130596427$$