Solve 4000div2175*(2175+475+2175*04)+500

$$4000 \div 2175 \times (2175+475+2175 \times 04)+500$$

Evaluate

$$\frac{467500}{87}\approx 5373.563218391$$

Solution Steps

Reduce the fraction \frac{4000}{2175} to lowest terms by extracting and canceling out 25.

$$\frac{160}{87}\left(2175+475+2175\times 0\times 4\right)+500$$

Add 2175 and 475 to get 2650.

$$\frac{160}{87}\left(2650+2175\times 0\times 4\right)+500$$

Multiply 2175 and 0 to get 0.

$$\frac{160}{87}\left(2650+0\times 4\right)+500$$

Multiply 0 and 4 to get 0.

$$\frac{160}{87}\left(2650+0\right)+500$$

Add 2650 and 0 to get 2650.

$$\frac{160}{87}\times 2650+500$$

Express \frac{160}{87}\times 2650 as a single fraction.

$$\frac{160\times 2650}{87}+500$$

Multiply 160 and 2650 to get 424000.

$$\frac{424000}{87}+500$$

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

$$\frac{424000}{87}+\frac{43500}{87}$$

Since \frac{424000}{87} and \frac{43500}{87} have the same denominator, add them by adding their numerators.

$$\frac{424000+43500}{87}$$

Add 424000 and 43500 to get 467500.

$$\frac{467500}{87}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {4} \cdot 11 \cdot 17}{3 \cdot 29} = 5373\frac{49}{87} = 5373.563218390805$$