Solve (11/2)*22/5=

$$( 1 \frac { 1 } { 2 } ) \cdot 2 \frac { 2 } { 5 } =$$

Evaluate

$$\frac{18}{5}=3.6$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Multiply 2 and 5 to get 10.

$$\frac{3}{2}\times \frac{10+2}{5}$$

Add 10 and 2 to get 12.

$$\frac{3}{2}\times \frac{12}{5}$$

Multiply \frac{3}{2} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 12}{2\times 5}$$

Do the multiplications in the fraction \frac{3\times 12}{2\times 5}.

$$\frac{36}{10}$$

Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$\frac{18}{5}$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{5} = 3\frac{3}{5} = 3.6$$