Solve 4000div3div(100000+2000div3)

$$4000 \div 3 \div (100000+2000 \div 3)$$

Evaluate

$$\frac{2}{151}\approx 0.013245033$$

Solution Steps

Convert 100000 to fraction \frac{300000}{3}.

$$\frac{\frac{4000}{3}}{\frac{300000}{3}+\frac{2000}{3}}$$

Since \frac{300000}{3} and \frac{2000}{3} have the same denominator, add them by adding their numerators.

$$\frac{\frac{4000}{3}}{\frac{300000+2000}{3}}$$

Add 300000 and 2000 to get 302000.

$$\frac{\frac{4000}{3}}{\frac{302000}{3}}$$

Divide \frac{4000}{3} by \frac{302000}{3} by multiplying \frac{4000}{3} by the reciprocal of \frac{302000}{3}.

$$\frac{4000}{3}\times \frac{3}{302000}$$

Multiply \frac{4000}{3} times \frac{3}{302000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4000\times 3}{3\times 302000}$$

Cancel out 3 in both numerator and denominator.

$$\frac{4000}{302000}$$

Reduce the fraction \frac{4000}{302000} to lowest terms by extracting and canceling out 2000.

$$\frac{2}{151}$$

Factor

$$\frac{2}{151} = 0.013245033112582781$$