Solve 7/2+0.66-sqrt{3}=

$$\frac { 7 } { 2 } + 0.66 - \sqrt { 3 } =$$

Evaluate

$$4.16-\sqrt{3}\approx 2.427949192$$

Solution Steps

Convert decimal number 0.66 to fraction \frac{66}{100}. Reduce the fraction \frac{66}{100} to lowest terms by extracting and canceling out 2.

$$\frac{7}{2}+\frac{33}{50}-\sqrt{3}$$

Least common multiple of 2 and 50 is 50. Convert \frac{7}{2} and \frac{33}{50} to fractions with denominator 50.

$$\frac{175}{50}+\frac{33}{50}-\sqrt{3}$$

Since \frac{175}{50} and \frac{33}{50} have the same denominator, add them by adding their numerators.

$$\frac{175+33}{50}-\sqrt{3}$$

Add 175 and 33 to get 208.

$$\frac{208}{50}-\sqrt{3}$$

Reduce the fraction \frac{208}{50} to lowest terms by extracting and canceling out 2.

$$\frac{104}{25}-\sqrt{3}$$

Factor

$$\frac{104 - 25 \sqrt{3}}{25} = 2.427949192431123$$