Solve -5/6+1.37--2.87-1/3

$$- \frac{ 5 }{ 6 } +1.37--2.87- \frac{ 1 }{ 3 }$$

Evaluate

$$\frac{461}{150}\approx 3.073333333$$

Solution Steps

Convert decimal number 1.37 to fraction \frac{137}{100}.

$$-\frac{5}{6}+\frac{137}{100}-\left(-2.87\right)-\frac{1}{3}$$

Least common multiple of 6 and 100 is 300. Convert -\frac{5}{6} and \frac{137}{100} to fractions with denominator 300.

$$-\frac{250}{300}+\frac{411}{300}-\left(-2.87\right)-\frac{1}{3}$$

Since -\frac{250}{300} and \frac{411}{300} have the same denominator, add them by adding their numerators.

$$\frac{-250+411}{300}-\left(-2.87\right)-\frac{1}{3}$$

Add -250 and 411 to get 161.

$$\frac{161}{300}-\left(-2.87\right)-\frac{1}{3}$$

The opposite of -2.87 is 2.87.

$$\frac{161}{300}+2.87-\frac{1}{3}$$

Convert decimal number 2.87 to fraction \frac{287}{100}.

$$\frac{161}{300}+\frac{287}{100}-\frac{1}{3}$$

Least common multiple of 300 and 100 is 300. Convert \frac{161}{300} and \frac{287}{100} to fractions with denominator 300.

$$\frac{161}{300}+\frac{861}{300}-\frac{1}{3}$$

Since \frac{161}{300} and \frac{861}{300} have the same denominator, add them by adding their numerators.

$$\frac{161+861}{300}-\frac{1}{3}$$

Add 161 and 861 to get 1022.

$$\frac{1022}{300}-\frac{1}{3}$$

Reduce the fraction \frac{1022}{300} to lowest terms by extracting and canceling out 2.

$$\frac{511}{150}-\frac{1}{3}$$

Least common multiple of 150 and 3 is 150. Convert \frac{511}{150} and \frac{1}{3} to fractions with denominator 150.

$$\frac{511}{150}-\frac{50}{150}$$

Since \frac{511}{150} and \frac{50}{150} have the same denominator, subtract them by subtracting their numerators.

$$\frac{511-50}{150}$$

Subtract 50 from 511 to get 461.

$$\frac{461}{150}$$

Factor

$$\frac{461}{2 \cdot 3 \cdot 5 ^ {2}} = 3\frac{11}{150} = 3.0733333333333333$$