Solve 0-(-17/20)+5/18-17/36+73/90

$$0 - ( - \frac { 17 } { 20 } ) + \frac { 5 } { 18 } - \frac { 17 } { 36 } + \frac { 73 } { 90 }$$

Evaluate

$$\frac{22}{15}\approx 1.466666667$$

Solution Steps

The opposite of -\frac{17}{20} is \frac{17}{20}.

$$0+\frac{17}{20}+\frac{5}{18}-\frac{17}{36}+\frac{73}{90}$$

Add 0 and \frac{17}{20} to get \frac{17}{20}.

$$\frac{17}{20}+\frac{5}{18}-\frac{17}{36}+\frac{73}{90}$$

Least common multiple of 20 and 18 is 180. Convert \frac{17}{20} and \frac{5}{18} to fractions with denominator 180.

$$\frac{153}{180}+\frac{50}{180}-\frac{17}{36}+\frac{73}{90}$$

Since \frac{153}{180} and \frac{50}{180} have the same denominator, add them by adding their numerators.

$$\frac{153+50}{180}-\frac{17}{36}+\frac{73}{90}$$

Add 153 and 50 to get 203.

$$\frac{203}{180}-\frac{17}{36}+\frac{73}{90}$$

Least common multiple of 180 and 36 is 180. Convert \frac{203}{180} and \frac{17}{36} to fractions with denominator 180.

$$\frac{203}{180}-\frac{85}{180}+\frac{73}{90}$$

Since \frac{203}{180} and \frac{85}{180} have the same denominator, subtract them by subtracting their numerators.

$$\frac{203-85}{180}+\frac{73}{90}$$

Subtract 85 from 203 to get 118.

$$\frac{118}{180}+\frac{73}{90}$$

Reduce the fraction \frac{118}{180} to lowest terms by extracting and canceling out 2.

$$\frac{59}{90}+\frac{73}{90}$$

Since \frac{59}{90} and \frac{73}{90} have the same denominator, add them by adding their numerators.

$$\frac{59+73}{90}$$

Add 59 and 73 to get 132.

$$\frac{132}{90}$$

Reduce the fraction \frac{132}{90} to lowest terms by extracting and canceling out 6.

$$\frac{22}{15}$$

Factor

$$\frac{2 \cdot 11}{3 \cdot 5} = 1\frac{7}{15} = 1.4666666666666666$$