Solve 7/12-9/10-3/18=

$$\frac { 7 } { 12 } - \frac { 9 } { 10 } - \frac { 3 } { 18 } =$$

Evaluate

$$-\frac{29}{60}\approx -0.483333333$$

Solution Steps

Least common multiple of 12 and 10 is 60. Convert \frac{7}{12} and \frac{9}{10} to fractions with denominator 60.

$$\frac{35}{60}-\frac{54}{60}-\frac{3}{18}$$

Since \frac{35}{60} and \frac{54}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-54}{60}-\frac{3}{18}$$

Subtract 54 from 35 to get -19.

$$-\frac{19}{60}-\frac{3}{18}$$

Reduce the fraction \frac{3}{18} to lowest terms by extracting and canceling out 3.

$$-\frac{19}{60}-\frac{1}{6}$$

Least common multiple of 60 and 6 is 60. Convert -\frac{19}{60} and \frac{1}{6} to fractions with denominator 60.

$$-\frac{19}{60}-\frac{10}{60}$$

Since -\frac{19}{60} and \frac{10}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-19-10}{60}$$

Subtract 10 from -19 to get -29.

$$-\frac{29}{60}$$

Factor

$$-\frac{29}{60} = -0.48333333333333334$$