Solve frac{sqrt{3}}{2}(1)+1/2(1.7)

$$\frac{ \sqrt{ 3 } }{ 2 } (1)+ \frac{ 1 }{ 2 } (1.7)$$

Evaluate

$$\frac{\sqrt{3}}{2}+0.85\approx 1.716025404$$

Short Solution Steps

Express \frac{\sqrt{3}}{2}\times 1 as a single fraction.

$$\frac{\sqrt{3}}{2}+\frac{1}{2}\times 1.7$$

Convert decimal number 1.7 to fraction \frac{17}{10}.

$$\frac{\sqrt{3}}{2}+\frac{1}{2}\times \frac{17}{10}$$

Multiply \frac{1}{2} times \frac{17}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\sqrt{3}}{2}+\frac{1\times 17}{2\times 10}$$

Do the multiplications in the fraction \frac{1\times 17}{2\times 10}.

$$\frac{\sqrt{3}}{2}+\frac{17}{20}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 20 is 20. Multiply \frac{\sqrt{3}}{2} times \frac{10}{10}.

$$\frac{10\sqrt{3}}{20}+\frac{17}{20}$$

Since \frac{10\sqrt{3}}{20} and \frac{17}{20} have the same denominator, add them by adding their numerators.

$$\frac{10\sqrt{3}+17}{20}$$

Factor

$$\frac{10 \sqrt{3} + 17}{20} = 1.7160254037844385$$