Solve (2-1/4)*(3-1/2)]-sqrt{1/9}

$$( 2 - \frac { 1 } { 4 } ) \cdot ( 3 - \frac { 1 } { 2 } ) ] - \sqrt { \frac { 1 } { 9 } }$$

Evaluate

$$\frac{35}{8}=4.375$$

Solution Steps

Convert 2 to fraction \frac{8}{4}.

$$\left(\frac{8}{4}-\frac{1}{4}\right)\left(3-\frac{1}{2}\right)$$

Since \frac{8}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-1}{4}\left(3-\frac{1}{2}\right)$$

Subtract 1 from 8 to get 7.

$$\frac{7}{4}\left(3-\frac{1}{2}\right)$$

Convert 3 to fraction \frac{6}{2}.

$$\frac{7}{4}\left(\frac{6}{2}-\frac{1}{2}\right)$$

Since \frac{6}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{4}\times \frac{6-1}{2}$$

Subtract 1 from 6 to get 5.

$$\frac{7}{4}\times \frac{5}{2}$$

Multiply \frac{7}{4} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 5}{4\times 2}$$

Do the multiplications in the fraction \frac{7\times 5}{4\times 2}.

$$\frac{35}{8}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {3}} = 4\frac{3}{8} = 4.375$$