Solve 11/7+(12/5-11/7)=

$$\frac { 11 } { 7 } + ( \frac { 12 } { 5 } - \frac { 11 } { 7 } ) =$$

Evaluate

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

Solution Steps

Least common multiple of 7 and 5 is 35. Convert \frac{11}{7} and \frac{12}{5} to fractions with denominator 35.

$$\frac{55}{35}+\frac{84}{35}-\frac{11}{7}$$

Since \frac{55}{35} and \frac{84}{35} have the same denominator, add them by adding their numerators.

$$\frac{55+84}{35}-\frac{11}{7}$$

Add 55 and 84 to get 139.

$$\frac{139}{35}-\frac{11}{7}$$

Least common multiple of 35 and 7 is 35. Convert \frac{139}{35} and \frac{11}{7} to fractions with denominator 35.

$$\frac{139}{35}-\frac{55}{35}$$

Since \frac{139}{35} and \frac{55}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{139-55}{35}$$

Subtract 55 from 139 to get 84.

$$\frac{84}{35}$$

Reduce the fraction \frac{84}{35} to lowest terms by extracting and canceling out 7.

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

Factor

$$\frac{2 ^ {2} \cdot 3}{5} = 2\frac{2}{5} = 2.4$$