Solve 4000div21.75*(21.75+4.75)

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

Evaluate

$$\frac{424000}{87}\approx 4873.563218391$$

Solution Steps

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

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

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

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

Add 21.75 and 4.75 to get 26.5.

$$\frac{16000}{87}\times 26.5$$

Convert decimal number 26.5 to fraction \frac{265}{10}. Reduce the fraction \frac{265}{10} to lowest terms by extracting and canceling out 5.

$$\frac{16000}{87}\times \frac{53}{2}$$

Multiply \frac{16000}{87} times \frac{53}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16000\times 53}{87\times 2}$$

Do the multiplications in the fraction \frac{16000\times 53}{87\times 2}.

$$\frac{848000}{174}$$

Reduce the fraction \frac{848000}{174} to lowest terms by extracting and canceling out 2.

$$\frac{424000}{87}$$

Factor

$$\frac{53 \cdot 2 ^ {6} \cdot 5 ^ {3}}{3 \cdot 29} = 4873\frac{49}{87} = 4873.563218390805$$