Solve (pi-3.14)+(1/3

$$( \pi -3.14)+( \frac{ 1 }{ 3 }$$

Evaluate

$$\pi -\frac{421}{150}\approx 0.334925987$$

Solution Steps

Convert decimal number -3.14 to fraction -\frac{314}{100}. Reduce the fraction -\frac{314}{100} to lowest terms by extracting and canceling out 2.

$$\pi -\frac{157}{50}+\frac{1}{3}$$

Least common multiple of 50 and 3 is 150. Convert -\frac{157}{50} and \frac{1}{3} to fractions with denominator 150.

$$\pi -\frac{471}{150}+\frac{50}{150}$$

Since -\frac{471}{150} and \frac{50}{150} have the same denominator, add them by adding their numerators.

$$\pi +\frac{-471+50}{150}$$

Add -471 and 50 to get -421.

$$\pi -\frac{421}{150}$$

Factor

$$\frac{150 \pi - 421}{150} = 0.3349259869231264$$