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

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

Evaluate

$$\frac{9}{20}=0.45$$

Solution Steps

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

$$\frac{28}{20}-\frac{25}{20}+\frac{3}{10}$$

Since \frac{28}{20} and \frac{25}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28-25}{20}+\frac{3}{10}$$

Subtract 25 from 28 to get 3.

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

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

$$\frac{3}{20}+\frac{6}{20}$$

Since \frac{3}{20} and \frac{6}{20} have the same denominator, add them by adding their numerators.

$$\frac{3+6}{20}$$

Add 3 and 6 to get 9.

$$\frac{9}{20}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 5} = 0.45$$