Solve 22/9*33/4=

$$2 \frac { 2 } { 9 } \times 3 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{25}{3}\approx 8.333333333$$

Solution Steps

Multiply 2 and 9 to get 18.

$$\frac{18+2}{9}\times \frac{3\times 4+3}{4}$$

Add 18 and 2 to get 20.

$$\frac{20}{9}\times \frac{3\times 4+3}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{20}{9}\times \frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$\frac{20}{9}\times \frac{15}{4}$$

Multiply \frac{20}{9} times \frac{15}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{20\times 15}{9\times 4}$$

Do the multiplications in the fraction \frac{20\times 15}{9\times 4}.

$$\frac{300}{36}$$

Reduce the fraction \frac{300}{36} to lowest terms by extracting and canceling out 12.

$$\frac{25}{3}$$

Factor

$$\frac{5 ^ {2}}{3} = 8\frac{1}{3} = 8.333333333333334$$