Solve 11/5*33/4

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

Evaluate

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

Solution Steps

Multiply 1 and 5 to get 5.

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

Add 5 and 1 to get 6.

$$\frac{6}{5}\times \frac{3\times 4+3}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{6}{5}\times \frac{12+3}{4}$$

Add 12 and 3 to get 15.

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

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

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

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

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

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

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

Factor

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