Solve frac{1sqrt{3}}{2}-1.54*1/3.08^2

$$\frac{ 1 \sqrt{ 3 } }{ 2 } - \frac{ 1.54 \times 1 }{ { 3.08 }^{ 2 } }$$

Evaluate

$$\frac{\sqrt{3}-\frac{25}{77}}{2}\approx 0.703687741$$

Short Solution Steps

Multiply 1.54 and 1 to get 1.54.

$$\frac{1\sqrt{3}}{2}-\frac{1.54}{3.08^{2}}$$

Calculate 3.08 to the power of 2 and get 9.4864.

$$\frac{1\sqrt{3}}{2}-\frac{1.54}{9.4864}$$

Expand \frac{1.54}{9.4864} by multiplying both numerator and the denominator by 10000.

$$\frac{1\sqrt{3}}{2}-\frac{15400}{94864}$$

Reduce the fraction \frac{15400}{94864} to lowest terms by extracting and canceling out 616.

$$\frac{1\sqrt{3}}{2}-\frac{25}{154}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 154 is 154. Multiply \frac{1\sqrt{3}}{2} times \frac{77}{77}.

$$\frac{77\times 1\sqrt{3}}{154}-\frac{25}{154}$$

Since \frac{77\times 1\sqrt{3}}{154} and \frac{25}{154} have the same denominator, subtract them by subtracting their numerators.

$$\frac{77\times 1\sqrt{3}-25}{154}$$

Do the multiplications in 77\times 1\sqrt{3}-25.

$$\frac{77\sqrt{3}-25}{154}$$

Factor

$$\frac{\sqrt{3} - \frac{25}{77}}{2} = 0.7036877414467763$$