Solve 11/4*22/3=

$$1 \frac { 1 } { 4 } \cdot 2 \frac { 2 } { 3 } =$$

Evaluate

$$\frac{10}{3}\approx 3.333333333$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{4+1}{4}\times \frac{2\times 3+2}{3}$$

Add 4 and 1 to get 5.

$$\frac{5}{4}\times \frac{2\times 3+2}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{5}{4}\times \frac{6+2}{3}$$

Add 6 and 2 to get 8.

$$\frac{5}{4}\times \frac{8}{3}$$

Multiply \frac{5}{4} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 8}{4\times 3}$$

Do the multiplications in the fraction \frac{5\times 8}{4\times 3}.

$$\frac{40}{12}$$

Reduce the fraction \frac{40}{12} to lowest terms by extracting and canceling out 4.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$