Solve 21/2*23/4*13/5

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

Evaluate

$$11$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}\times \frac{2\times 4+3}{4}\times \frac{1\times 5+3}{5}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}\times \frac{2\times 4+3}{4}\times \frac{1\times 5+3}{5}$$

Multiply 2 and 4 to get 8.

$$\frac{5}{2}\times \frac{8+3}{4}\times \frac{1\times 5+3}{5}$$

Add 8 and 3 to get 11.

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

Multiply \frac{5}{2} times \frac{11}{4} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{5\times 11}{2\times 4}.

$$\frac{55}{8}\times \frac{1\times 5+3}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{55}{8}\times \frac{5+3}{5}$$

Add 5 and 3 to get 8.

$$\frac{55}{8}\times \frac{8}{5}$$

Multiply \frac{55}{8} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{55\times 8}{8\times 5}$$

Cancel out 8 in both numerator and denominator.

$$\frac{55}{5}$$

Divide 55 by 5 to get 11.

$$11$$

Factor

$$11$$