Solve 4000div21.75*(21.75+4.75+21.75*0.4)+500

$$4000 \div 21.75 \times (21.75+4.75+21.75 \times 0.4)+500$$

Evaluate

$$\frac{606700}{87}\approx 6973.563218391$$

Solution Steps

Expand \frac{4000}{21.75} by multiplying both numerator and the denominator by 100.

$$\frac{400000}{2175}\left(21.75+4.75+21.75\times 0.4\right)+500$$

Reduce the fraction \frac{400000}{2175} to lowest terms by extracting and canceling out 25.

$$\frac{16000}{87}\left(21.75+4.75+21.75\times 0.4\right)+500$$

Add 21.75 and 4.75 to get 26.5.

$$\frac{16000}{87}\left(26.5+21.75\times 0.4\right)+500$$

Multiply 21.75 and 0.4 to get 8.7.

$$\frac{16000}{87}\left(26.5+8.7\right)+500$$

Add 26.5 and 8.7 to get 35.2.

$$\frac{16000}{87}\times 35.2+500$$

Convert decimal number 35.2 to fraction \frac{352}{10}. Reduce the fraction \frac{352}{10} to lowest terms by extracting and canceling out 2.

$$\frac{16000}{87}\times \frac{176}{5}+500$$

Multiply \frac{16000}{87} times \frac{176}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16000\times 176}{87\times 5}+500$$

Do the multiplications in the fraction \frac{16000\times 176}{87\times 5}.

$$\frac{2816000}{435}+500$$

Reduce the fraction \frac{2816000}{435} to lowest terms by extracting and canceling out 5.

$$\frac{563200}{87}+500$$

Convert 500 to fraction \frac{43500}{87}.

$$\frac{563200}{87}+\frac{43500}{87}$$

Since \frac{563200}{87} and \frac{43500}{87} have the same denominator, add them by adding their numerators.

$$\frac{563200+43500}{87}$$

Add 563200 and 43500 to get 606700.

$$\frac{606700}{87}$$

Factor

$$\frac{6067 \cdot 2 ^ {2} \cdot 5 ^ {2}}{3 \cdot 29} = 6973\frac{49}{87} = 6973.563218390805$$