Solve 14*16/2*22.99+32.06+14*16+20*1.008

$$\frac{ 14 \cdot 16 }{ 2 \cdot 22.99+32.06+14 \cdot 16+20 \cdot 1.008 }$$

Evaluate

$$\frac{1120}{1611}\approx 0.69522036$$

Solution Steps

Multiply 14 and 16 to get 224.

$$\frac{224}{2\times 22.99+32.06+14\times 16+20\times 1.008}$$

Multiply 2 and 22.99 to get 45.98.

$$\frac{224}{45.98+32.06+14\times 16+20\times 1.008}$$

Add 45.98 and 32.06 to get 78.04.

$$\frac{224}{78.04+14\times 16+20\times 1.008}$$

Multiply 14 and 16 to get 224.

$$\frac{224}{78.04+224+20\times 1.008}$$

Add 78.04 and 224 to get 302.04.

$$\frac{224}{302.04+20\times 1.008}$$

Multiply 20 and 1.008 to get 20.16.

$$\frac{224}{302.04+20.16}$$

Add 302.04 and 20.16 to get 322.2.

$$\frac{224}{322.2}$$

Expand \frac{224}{322.2} by multiplying both numerator and the denominator by 10.

$$\frac{2240}{3222}$$

Reduce the fraction \frac{2240}{3222} to lowest terms by extracting and canceling out 2.

$$\frac{1120}{1611}$$

Factor

$$\frac{5 \cdot 7 \cdot 2 ^ {5}}{179 \cdot 3 ^ {2}} = 0.6952203600248293$$