Solve 45/7*21/3*22/11

$$4 \frac { 5 } { 7 } \times 2 \frac { 1 } { 3 } \times 2 \frac { 2 } { 11 }$$

Evaluate

$$24$$

Solution Steps

Multiply 4 and 7 to get 28.

$$\frac{28+5}{7}\times \frac{2\times 3+1}{3}\times \frac{2\times 11+2}{11}$$

Add 28 and 5 to get 33.

$$\frac{33}{7}\times \frac{2\times 3+1}{3}\times \frac{2\times 11+2}{11}$$

Multiply 2 and 3 to get 6.

$$\frac{33}{7}\times \frac{6+1}{3}\times \frac{2\times 11+2}{11}$$

Add 6 and 1 to get 7.

$$\frac{33}{7}\times \frac{7}{3}\times \frac{2\times 11+2}{11}$$

Multiply \frac{33}{7} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{33\times 7}{7\times 3}\times \frac{2\times 11+2}{11}$$

Cancel out 7 in both numerator and denominator.

$$\frac{33}{3}\times \frac{2\times 11+2}{11}$$

Divide 33 by 3 to get 11.

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

Multiply 2 and 11 to get 22.

$$11\times \frac{22+2}{11}$$

Add 22 and 2 to get 24.

$$11\times \frac{24}{11}$$

Cancel out 11 and 11.

$$24$$

Factor

$$2^{3}\times 3$$