Solve 33/10*11/3

$$3 \frac { 3 } { 10 } \times 1 \frac { 1 } { 3 }$$

Evaluate

$$\frac{22}{5}=4.4$$

Solution Steps

Multiply 3 and 10 to get 30.

$$\frac{30+3}{10}\times \frac{1\times 3+1}{3}$$

Add 30 and 3 to get 33.

$$\frac{33}{10}\times \frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{33}{10}\times \frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$\frac{33}{10}\times \frac{4}{3}$$

Multiply \frac{33}{10} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{33\times 4}{10\times 3}$$

Do the multiplications in the fraction \frac{33\times 4}{10\times 3}.

$$\frac{132}{30}$$

Reduce the fraction \frac{132}{30} to lowest terms by extracting and canceling out 6.

$$\frac{22}{5}$$

Factor

$$\frac{2 \cdot 11}{5} = 4\frac{2}{5} = 4.4$$