Solve 2/5*(11/4-1/4)+1/5

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

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

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

Since \frac{5}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{5}\times \frac{5-1}{4}+\frac{1}{5}$$

Subtract 1 from 5 to get 4.

$$\frac{2}{5}\times \frac{4}{4}+\frac{1}{5}$$

Divide 4 by 4 to get 1.

$$\frac{2}{5}\times 1+\frac{1}{5}$$

Multiply \frac{2}{5} and 1 to get \frac{2}{5}.

$$\frac{2}{5}+\frac{1}{5}$$

Since \frac{2}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{5}$$

Add 2 and 1 to get 3.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$