Solve 7/10-1/3-2/4

$$\frac { 7 } { 10 } - \frac { 1 } { 3 } - \frac { 2 } { 4 }$$

Evaluate

$$-\frac{2}{15}\approx -0.133333333$$

Solution Steps

Least common multiple of 10 and 3 is 30. Convert \frac{7}{10} and \frac{1}{3} to fractions with denominator 30.

$$\frac{21}{30}-\frac{10}{30}-\frac{2}{4}$$

Since \frac{21}{30} and \frac{10}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-10}{30}-\frac{2}{4}$$

Subtract 10 from 21 to get 11.

$$\frac{11}{30}-\frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{11}{30}-\frac{1}{2}$$

Least common multiple of 30 and 2 is 30. Convert \frac{11}{30} and \frac{1}{2} to fractions with denominator 30.

$$\frac{11}{30}-\frac{15}{30}$$

Since \frac{11}{30} and \frac{15}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-15}{30}$$

Subtract 15 from 11 to get -4.

$$\frac{-4}{30}$$

Reduce the fraction \frac{-4}{30} to lowest terms by extracting and canceling out 2.

$$-\frac{2}{15}$$

Factor

$$-\frac{2}{15} = -0.13333333333333333$$