Solve 3.6*11/4

$$3.6 \times 1 \frac{ 1 }{ 4 }$$

Evaluate

$$4.5$$

Solution Steps

Multiply 1 and 4 to get 4.

$$3.6\times \frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$3.6\times \frac{5}{4}$$

Convert decimal number 3.6 to fraction \frac{36}{10}. Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$\frac{18}{5}\times \frac{5}{4}$$

Multiply \frac{18}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{18\times 5}{5\times 4}$$

Cancel out 5 in both numerator and denominator.

$$\frac{18}{4}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$