Solve 22/3*31/4-21/4*22/3=

$$2 \frac { 2 } { 3 } \cdot 3 \frac { 1 } { 4 } - 2 \frac { 1 } { 4 } \cdot 2 \frac { 2 } { 3 } =$$

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+2}{3}\times \frac{3\times 4+1}{4}-\frac{2\times 4+1}{4}\times \frac{2\times 3+2}{3}$$

Add 6 and 2 to get 8.

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

Multiply 3 and 4 to get 12.

$$\frac{8}{3}\times \frac{12+1}{4}-\frac{2\times 4+1}{4}\times \frac{2\times 3+2}{3}$$

Add 12 and 1 to get 13.

$$\frac{8}{3}\times \frac{13}{4}-\frac{2\times 4+1}{4}\times \frac{2\times 3+2}{3}$$

Multiply \frac{8}{3} times \frac{13}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 13}{3\times 4}-\frac{2\times 4+1}{4}\times \frac{2\times 3+2}{3}$$

Do the multiplications in the fraction \frac{8\times 13}{3\times 4}.

$$\frac{104}{12}-\frac{2\times 4+1}{4}\times \frac{2\times 3+2}{3}$$

Reduce the fraction \frac{104}{12} to lowest terms by extracting and canceling out 4.

$$\frac{26}{3}-\frac{2\times 4+1}{4}\times \frac{2\times 3+2}{3}$$

Multiply 2 and 4 to get 8.

$$\frac{26}{3}-\frac{8+1}{4}\times \frac{2\times 3+2}{3}$$

Add 8 and 1 to get 9.

$$\frac{26}{3}-\frac{9}{4}\times \frac{2\times 3+2}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{26}{3}-\frac{9}{4}\times \frac{6+2}{3}$$

Add 6 and 2 to get 8.

$$\frac{26}{3}-\frac{9}{4}\times \frac{8}{3}$$

Multiply \frac{9}{4} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{26}{3}-\frac{9\times 8}{4\times 3}$$

Do the multiplications in the fraction \frac{9\times 8}{4\times 3}.

$$\frac{26}{3}-\frac{72}{12}$$

Divide 72 by 12 to get 6.

$$\frac{26}{3}-6$$

Convert 6 to fraction \frac{18}{3}.

$$\frac{26}{3}-\frac{18}{3}$$

Since \frac{26}{3} and \frac{18}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-18}{3}$$

Subtract 18 from 26 to get 8.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$