Solve 44/5-(24/5+5/12)

$$4 \frac { 4 } { 5 } - ( 2 \frac { 4 } { 5 } + \frac { 5 } { 12 } )$$

Evaluate

$$\frac{19}{12}\approx 1.583333333$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+4}{5}-\left(\frac{2\times 5+4}{5}+\frac{5}{12}\right)$$

Add 20 and 4 to get 24.

$$\frac{24}{5}-\left(\frac{2\times 5+4}{5}+\frac{5}{12}\right)$$

Multiply 2 and 5 to get 10.

$$\frac{24}{5}-\left(\frac{10+4}{5}+\frac{5}{12}\right)$$

Add 10 and 4 to get 14.

$$\frac{24}{5}-\left(\frac{14}{5}+\frac{5}{12}\right)$$

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

$$\frac{24}{5}-\left(\frac{168}{60}+\frac{25}{60}\right)$$

Since \frac{168}{60} and \frac{25}{60} have the same denominator, add them by adding their numerators.

$$\frac{24}{5}-\frac{168+25}{60}$$

Add 168 and 25 to get 193.

$$\frac{24}{5}-\frac{193}{60}$$

Least common multiple of 5 and 60 is 60. Convert \frac{24}{5} and \frac{193}{60} to fractions with denominator 60.

$$\frac{288}{60}-\frac{193}{60}$$

Since \frac{288}{60} and \frac{193}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{288-193}{60}$$

Subtract 193 from 288 to get 95.

$$\frac{95}{60}$$

Reduce the fraction \frac{95}{60} to lowest terms by extracting and canceling out 5.

$$\frac{19}{12}$$

Factor

$$\frac{19}{2 ^ {2} \cdot 3} = 1\frac{7}{12} = 1.5833333333333333$$