Solve (22/9*34/5)*23/4

$$( 2 \frac { 2 } { 9 } \times 3 \frac { 4 } { 5 } ) \times 2 \frac { 3 } { 4 }$$

Evaluate

$$\frac{209}{9}\approx 23.222222222$$

Solution Steps

Multiply 2 and 9 to get 18.

$$\frac{18+2}{9}\times \frac{3\times 5+4}{5}\times \frac{2\times 4+3}{4}$$

Add 18 and 2 to get 20.

$$\frac{20}{9}\times \frac{3\times 5+4}{5}\times \frac{2\times 4+3}{4}$$

Multiply 3 and 5 to get 15.

$$\frac{20}{9}\times \frac{15+4}{5}\times \frac{2\times 4+3}{4}$$

Add 15 and 4 to get 19.

$$\frac{20}{9}\times \frac{19}{5}\times \frac{2\times 4+3}{4}$$

Multiply \frac{20}{9} times \frac{19}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{20\times 19}{9\times 5}\times \frac{2\times 4+3}{4}$$

Do the multiplications in the fraction \frac{20\times 19}{9\times 5}.

$$\frac{380}{45}\times \frac{2\times 4+3}{4}$$

Reduce the fraction \frac{380}{45} to lowest terms by extracting and canceling out 5.

$$\frac{76}{9}\times \frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{76}{9}\times \frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$\frac{76}{9}\times \frac{11}{4}$$

Multiply \frac{76}{9} times \frac{11}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{76\times 11}{9\times 4}$$

Do the multiplications in the fraction \frac{76\times 11}{9\times 4}.

$$\frac{836}{36}$$

Reduce the fraction \frac{836}{36} to lowest terms by extracting and canceling out 4.

$$\frac{209}{9}$$

Factor

$$\frac{11 \cdot 19}{3 ^ {2}} = 23\frac{2}{9} = 23.22222222222222$$