Solve 3/4+1/2-3/10+4/5

$$\frac { 3 } { 4 } + \frac { 1 } { 2 } - \frac { 3 } { 10 } + \frac { 4 } { 5 }$$

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

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

Since \frac{3}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

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

Add 3 and 2 to get 5.

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

Least common multiple of 4 and 10 is 20. Convert \frac{5}{4} and \frac{3}{10} to fractions with denominator 20.

$$\frac{25}{20}-\frac{6}{20}+\frac{4}{5}$$

Since \frac{25}{20} and \frac{6}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-6}{20}+\frac{4}{5}$$

Subtract 6 from 25 to get 19.

$$\frac{19}{20}+\frac{4}{5}$$

Least common multiple of 20 and 5 is 20. Convert \frac{19}{20} and \frac{4}{5} to fractions with denominator 20.

$$\frac{19}{20}+\frac{16}{20}$$

Since \frac{19}{20} and \frac{16}{20} have the same denominator, add them by adding their numerators.

$$\frac{19+16}{20}$$

Add 19 and 16 to get 35.

$$\frac{35}{20}$$

Reduce the fraction \frac{35}{20} to lowest terms by extracting and canceling out 5.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$