Solve 24/5-(2/6+1/4)

$$2 \frac { 4 } { 5 } - ( \frac { 2 } { 6 } + \frac { 1 } { 4 } )$$

Evaluate

$$\frac{133}{60}\approx 2.216666667$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+4}{5}-\left(\frac{2}{6}+\frac{1}{4}\right)$$

Add 10 and 4 to get 14.

$$\frac{14}{5}-\left(\frac{2}{6}+\frac{1}{4}\right)$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{14}{5}-\left(\frac{1}{3}+\frac{1}{4}\right)$$

Least common multiple of 3 and 4 is 12. Convert \frac{1}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{14}{5}-\left(\frac{4}{12}+\frac{3}{12}\right)$$

Since \frac{4}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{14}{5}-\frac{4+3}{12}$$

Add 4 and 3 to get 7.

$$\frac{14}{5}-\frac{7}{12}$$

Least common multiple of 5 and 12 is 60. Convert \frac{14}{5} and \frac{7}{12} to fractions with denominator 60.

$$\frac{168}{60}-\frac{35}{60}$$

Since \frac{168}{60} and \frac{35}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{168-35}{60}$$

Subtract 35 from 168 to get 133.

$$\frac{133}{60}$$

Factor

$$\frac{7 \cdot 19}{2 ^ {2} \cdot 3 \cdot 5} = 2\frac{13}{60} = 2.216666666666667$$