Solve 21/4-(21/4*2/3)

$$2 \frac { 1 } { 4 } - ( 2 \frac { 1 } { 4 } \times \frac { 2 } { 3 } )$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+1}{4}-\frac{2\times 4+1}{4}\times \frac{2}{3}$$

Add 8 and 1 to get 9.

$$\frac{9}{4}-\frac{2\times 4+1}{4}\times \frac{2}{3}$$

Multiply 2 and 4 to get 8.

$$\frac{9}{4}-\frac{8+1}{4}\times \frac{2}{3}$$

Add 8 and 1 to get 9.

$$\frac{9}{4}-\frac{9}{4}\times \frac{2}{3}$$

Multiply \frac{9}{4} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{4}-\frac{9\times 2}{4\times 3}$$

Do the multiplications in the fraction \frac{9\times 2}{4\times 3}.

$$\frac{9}{4}-\frac{18}{12}$$

Reduce the fraction \frac{18}{12} to lowest terms by extracting and canceling out 6.

$$\frac{9}{4}-\frac{3}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{9}{4} and \frac{3}{2} to fractions with denominator 4.

$$\frac{9}{4}-\frac{6}{4}$$

Since \frac{9}{4} and \frac{6}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-6}{4}$$

Subtract 6 from 9 to get 3.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$