Solve 11/2*22/3*33/4

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

Evaluate

$$15$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

$$\frac{3}{2}\times \frac{2\times 3+2}{3}\times \frac{3\times 4+3}{4}$$

Multiply 2 and 3 to get 6.

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

Add 6 and 2 to get 8.

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

Multiply \frac{3}{2} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 3 in both numerator and denominator.

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

Divide 8 by 2 to get 4.

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

Multiply 3 and 4 to get 12.

$$4\times \frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$4\times \frac{15}{4}$$

Cancel out 4 and 4.

$$15$$

Factor

$$3\times 5$$