Solve 21.6div(36+6+71)*2*(108+35.5)

$$21.6 \div (36+6+71) \times 2 \times (108+35.5)$$

Evaluate

$$\frac{30996}{565}\approx 54.860176991$$

Solution Steps

Add 36 and 6 to get 42.

$$\frac{21.6}{42+71}\times 2\left(108+35.5\right)$$

Add 42 and 71 to get 113.

$$\frac{21.6}{113}\times 2\left(108+35.5\right)$$

Expand \frac{21.6}{113} by multiplying both numerator and the denominator by 10.

$$\frac{216}{1130}\times 2\left(108+35.5\right)$$

Reduce the fraction \frac{216}{1130} to lowest terms by extracting and canceling out 2.

$$\frac{108}{565}\times 2\left(108+35.5\right)$$

Express \frac{108}{565}\times 2 as a single fraction.

$$\frac{108\times 2}{565}\left(108+35.5\right)$$

Multiply 108 and 2 to get 216.

$$\frac{216}{565}\left(108+35.5\right)$$

Add 108 and 35.5 to get 143.5.

$$\frac{216}{565}\times 143.5$$

Convert decimal number 143.5 to fraction \frac{1435}{10}. Reduce the fraction \frac{1435}{10} to lowest terms by extracting and canceling out 5.

$$\frac{216}{565}\times \frac{287}{2}$$

Multiply \frac{216}{565} times \frac{287}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{216\times 287}{565\times 2}$$

Do the multiplications in the fraction \frac{216\times 287}{565\times 2}.

$$\frac{61992}{1130}$$

Reduce the fraction \frac{61992}{1130} to lowest terms by extracting and canceling out 2.

$$\frac{30996}{565}$$

Factor

$$\frac{7 \cdot 41 \cdot 2 ^ {2} \cdot 3 ^ {3}}{5 \cdot 113} = 54\frac{486}{565} = 54.86017699115044$$