Solve 3*4+2*2/(3+2+2)*(2+3+4)

$$\frac { 3 \times 4 + 2 \times 2 } { ( 3 + 2 + 2 ) \times ( 2 + 3 + 4 ) }$$

Evaluate

$$\frac{16}{63}\approx 0.253968254$$

Solution Steps

Multiply 3 and 4 to get 12. Multiply 2 and 2 to get 4.

$$\frac{12+4}{\left(3+2+2\right)\left(2+3+4\right)}$$

Add 12 and 4 to get 16.

$$\frac{16}{\left(3+2+2\right)\left(2+3+4\right)}$$

Add 3 and 2 to get 5.

$$\frac{16}{\left(5+2\right)\left(2+3+4\right)}$$

Add 5 and 2 to get 7.

$$\frac{16}{7\left(2+3+4\right)}$$

Add 2 and 3 to get 5.

$$\frac{16}{7\left(5+4\right)}$$

Add 5 and 4 to get 9.

$$\frac{16}{7\times 9}$$

Multiply 7 and 9 to get 63.

$$\frac{16}{63}$$

Factor

$$\frac{2 ^ {4}}{3 ^ {2} \cdot 7} = 0.25396825396825395$$