Solve 33/4*11/5

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

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+3}{4}\times \frac{1\times 5+1}{5}$$

Add 12 and 3 to get 15.

$$\frac{15}{4}\times \frac{1\times 5+1}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{15}{4}\times \frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$\frac{15}{4}\times \frac{6}{5}$$

Multiply \frac{15}{4} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 6}{4\times 5}$$

Do the multiplications in the fraction \frac{15\times 6}{4\times 5}.

$$\frac{90}{20}$$

Reduce the fraction \frac{90}{20} to lowest terms by extracting and canceling out 10.

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

Factor

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