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

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

Evaluate

$$-\frac{7}{20}=-0.35$$

Solution Steps

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{7}{5} to fractions with denominator 20.

$$\frac{15}{20}-\frac{28}{20}+\frac{3}{10}$$

Since \frac{15}{20} and \frac{28}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-28}{20}+\frac{3}{10}$$

Subtract 28 from 15 to get -13.

$$-\frac{13}{20}+\frac{3}{10}$$

Least common multiple of 20 and 10 is 20. Convert -\frac{13}{20} and \frac{3}{10} to fractions with denominator 20.

$$-\frac{13}{20}+\frac{6}{20}$$

Since -\frac{13}{20} and \frac{6}{20} have the same denominator, add them by adding their numerators.

$$\frac{-13+6}{20}$$

Add -13 and 6 to get -7.

$$-\frac{7}{20}$$

Factor

$$-\frac{7}{20} = -0.35$$