Solve 248.5*1*(29-23)+10.8*0.22*(29-23)+(20.8)(0.22)(29-23)/163.8(95-29)

$$\frac{ 248.5 \times 1 \times (29-23)+10.8 \times 0.22 \times (29-23)+(20.8)(0.22)(29-23) }{ 163.8(95-29) }$$

Evaluate

$$\frac{63863}{450450}\approx 0.141776002$$

Solution Steps

Multiply 248.5 and 1 to get 248.5.

$$\frac{248.5\left(29-23\right)+10.8\times 0.22\left(29-23\right)+20.8\times 0.22\left(29-23\right)}{163.8\left(95-29\right)}$$

Subtract 23 from 29 to get 6.

$$\frac{248.5\times 6+10.8\times 0.22\left(29-23\right)+20.8\times 0.22\left(29-23\right)}{163.8\left(95-29\right)}$$

Multiply 248.5 and 6 to get 1491.

$$\frac{1491+10.8\times 0.22\left(29-23\right)+20.8\times 0.22\left(29-23\right)}{163.8\left(95-29\right)}$$

Multiply 10.8 and 0.22 to get 2.376.

$$\frac{1491+2.376\left(29-23\right)+20.8\times 0.22\left(29-23\right)}{163.8\left(95-29\right)}$$

Subtract 23 from 29 to get 6.

$$\frac{1491+2.376\times 6+20.8\times 0.22\left(29-23\right)}{163.8\left(95-29\right)}$$

Multiply 2.376 and 6 to get 14.256.

$$\frac{1491+14.256+20.8\times 0.22\left(29-23\right)}{163.8\left(95-29\right)}$$

Add 1491 and 14.256 to get 1505.256.

$$\frac{1505.256+20.8\times 0.22\left(29-23\right)}{163.8\left(95-29\right)}$$

Multiply 20.8 and 0.22 to get 4.576.

$$\frac{1505.256+4.576\left(29-23\right)}{163.8\left(95-29\right)}$$

Subtract 23 from 29 to get 6.

$$\frac{1505.256+4.576\times 6}{163.8\left(95-29\right)}$$

Multiply 4.576 and 6 to get 27.456.

$$\frac{1505.256+27.456}{163.8\left(95-29\right)}$$

Add 1505.256 and 27.456 to get 1532.712.

$$\frac{1532.712}{163.8\left(95-29\right)}$$

Subtract 29 from 95 to get 66.

$$\frac{1532.712}{163.8\times 66}$$

Multiply 163.8 and 66 to get 10810.8.

$$\frac{1532.712}{10810.8}$$

Expand \frac{1532.712}{10810.8} by multiplying both numerator and the denominator by 1000.

$$\frac{1532712}{10810800}$$

Reduce the fraction \frac{1532712}{10810800} to lowest terms by extracting and canceling out 24.

$$\frac{63863}{450450}$$

Factor

$$\frac{63863}{2 \cdot 7 \cdot 11 \cdot 13 \cdot 3 ^ {2} \cdot 5 ^ {2}} = 0.14177600177600178$$