Solve 17/30+(0.8+(-2.13))

$$1 \frac { 7 } { 30 } +(0.8+(-2.13))$$

Evaluate

$$-\frac{29}{300}\approx -0.096666667$$

Solution Steps

Multiply 1 and 30 to get 30.

$$\frac{30+7}{30}+0.8-2.13$$

Add 30 and 7 to get 37.

$$\frac{37}{30}+0.8-2.13$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{37}{30}+\frac{4}{5}-2.13$$

Least common multiple of 30 and 5 is 30. Convert \frac{37}{30} and \frac{4}{5} to fractions with denominator 30.

$$\frac{37}{30}+\frac{24}{30}-2.13$$

Since \frac{37}{30} and \frac{24}{30} have the same denominator, add them by adding their numerators.

$$\frac{37+24}{30}-2.13$$

Add 37 and 24 to get 61.

$$\frac{61}{30}-2.13$$

Convert decimal number 2.13 to fraction \frac{213}{100}.

$$\frac{61}{30}-\frac{213}{100}$$

Least common multiple of 30 and 100 is 300. Convert \frac{61}{30} and \frac{213}{100} to fractions with denominator 300.

$$\frac{610}{300}-\frac{639}{300}$$

Since \frac{610}{300} and \frac{639}{300} have the same denominator, subtract them by subtracting their numerators.

$$\frac{610-639}{300}$$

Subtract 639 from 610 to get -29.

$$-\frac{29}{300}$$

Factor

$$-\frac{29}{300} = -0.09666666666666666$$