Solve 3/10+4/5-7/2

$$\frac { 3 } { 10 } + \frac { 4 } { 5 } - \frac { 7 } { 2 }$$

Evaluate

$$-\frac{12}{5}=-2.4$$

Solution Steps

Least common multiple of 10 and 5 is 10. Convert \frac{3}{10} and \frac{4}{5} to fractions with denominator 10.

$$\frac{3}{10}+\frac{8}{10}-\frac{7}{2}$$

Since \frac{3}{10} and \frac{8}{10} have the same denominator, add them by adding their numerators.

$$\frac{3+8}{10}-\frac{7}{2}$$

Add 3 and 8 to get 11.

$$\frac{11}{10}-\frac{7}{2}$$

Least common multiple of 10 and 2 is 10. Convert \frac{11}{10} and \frac{7}{2} to fractions with denominator 10.

$$\frac{11}{10}-\frac{35}{10}$$

Since \frac{11}{10} and \frac{35}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-35}{10}$$

Subtract 35 from 11 to get -24.

$$\frac{-24}{10}$$

Reduce the fraction \frac{-24}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{12}{5}$$

Factor

$$-\frac{12}{5} = -2\frac{2}{5} = -2.4$$