Solve 22/9*33/8

$$2 \frac { 2 } { 9 } \times 3 \frac { 3 } { 8 }$$

Evaluate

$$\frac{15}{2}=7.5$$

Solution Steps

Multiply 2 and 9 to get 18.

$$\frac{18+2}{9}\times \frac{3\times 8+3}{8}$$

Add 18 and 2 to get 20.

$$\frac{20}{9}\times \frac{3\times 8+3}{8}$$

Multiply 3 and 8 to get 24.

$$\frac{20}{9}\times \frac{24+3}{8}$$

Add 24 and 3 to get 27.

$$\frac{20}{9}\times \frac{27}{8}$$

Multiply \frac{20}{9} times \frac{27}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{20\times 27}{9\times 8}$$

Do the multiplications in the fraction \frac{20\times 27}{9\times 8}.

$$\frac{540}{72}$$

Reduce the fraction \frac{540}{72} to lowest terms by extracting and canceling out 36.

$$\frac{15}{2}$$

Factor

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$$