Solve 24/9*21/4*13/11*11/3

$$2 \frac { 4 } { 9 } \times 2 \frac { 1 } { 4 } \times 1 \frac { 3 } { 11 } \times 1 \frac { 1 } { 3 }$$

Evaluate

$$\frac{28}{3}\approx 9.333333333$$

Solution Steps

Multiply 2 and 9 to get 18.

$$\frac{18+4}{9}\times \frac{2\times 4+1}{4}\times \frac{1\times 11+3}{11}\times \frac{1\times 3+1}{3}$$

Add 18 and 4 to get 22.

$$\frac{22}{9}\times \frac{2\times 4+1}{4}\times \frac{1\times 11+3}{11}\times \frac{1\times 3+1}{3}$$

Multiply 2 and 4 to get 8.

$$\frac{22}{9}\times \frac{8+1}{4}\times \frac{1\times 11+3}{11}\times \frac{1\times 3+1}{3}$$

Add 8 and 1 to get 9.

$$\frac{22}{9}\times \frac{9}{4}\times \frac{1\times 11+3}{11}\times \frac{1\times 3+1}{3}$$

Multiply \frac{22}{9} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 9}{9\times 4}\times \frac{1\times 11+3}{11}\times \frac{1\times 3+1}{3}$$

Cancel out 9 in both numerator and denominator.

$$\frac{22}{4}\times \frac{1\times 11+3}{11}\times \frac{1\times 3+1}{3}$$

Reduce the fraction \frac{22}{4} to lowest terms by extracting and canceling out 2.

$$\frac{11}{2}\times \frac{1\times 11+3}{11}\times \frac{1\times 3+1}{3}$$

Multiply 1 and 11 to get 11.

$$\frac{11}{2}\times \frac{11+3}{11}\times \frac{1\times 3+1}{3}$$

Add 11 and 3 to get 14.

$$\frac{11}{2}\times \frac{14}{11}\times \frac{1\times 3+1}{3}$$

Multiply \frac{11}{2} times \frac{14}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 14}{2\times 11}\times \frac{1\times 3+1}{3}$$

Cancel out 11 in both numerator and denominator.

$$\frac{14}{2}\times \frac{1\times 3+1}{3}$$

Divide 14 by 2 to get 7.

$$7\times \frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$7\times \frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$7\times \frac{4}{3}$$

Express 7\times \frac{4}{3} as a single fraction.

$$\frac{7\times 4}{3}$$

Multiply 7 and 4 to get 28.

$$\frac{28}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 7}{3} = 9\frac{1}{3} = 9.333333333333334$$