Solve 21.6div(28+35.5+80)*(188+108+35.5)

$$21.6 \div (28+35.5+80) \times (188+108+35.5)$$

Evaluate

$$\frac{71604}{1435}\approx 49.89825784$$

Solution Steps

Add 28 and 35.5 to get 63.5.

$$\frac{21.6}{63.5+80}\left(188+108+35.5\right)$$

Add 63.5 and 80 to get 143.5.

$$\frac{21.6}{143.5}\left(188+108+35.5\right)$$

Expand \frac{21.6}{143.5} by multiplying both numerator and the denominator by 10.

$$\frac{216}{1435}\left(188+108+35.5\right)$$

Add 188 and 108 to get 296.

$$\frac{216}{1435}\left(296+35.5\right)$$

Add 296 and 35.5 to get 331.5.

$$\frac{216}{1435}\times 331.5$$

Convert decimal number 331.5 to fraction \frac{3315}{10}. Reduce the fraction \frac{3315}{10} to lowest terms by extracting and canceling out 5.

$$\frac{216}{1435}\times \frac{663}{2}$$

Multiply \frac{216}{1435} times \frac{663}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{216\times 663}{1435\times 2}$$

Do the multiplications in the fraction \frac{216\times 663}{1435\times 2}.

$$\frac{143208}{2870}$$

Reduce the fraction \frac{143208}{2870} to lowest terms by extracting and canceling out 2.

$$\frac{71604}{1435}$$

Factor

$$\frac{13 \cdot 17 \cdot 2 ^ {2} \cdot 3 ^ {4}}{5 \cdot 7 \cdot 41} = 49\frac{1289}{1435} = 49.89825783972125$$