Solve 10000*11/3+5000(-6/5*11/3+22/5)=

$$10000 \times \frac{ 11 }{ 3 } +5000(- \frac{ 6 }{ 5 } \times \frac{ 11 }{ 3 } + \frac{ 22 }{ 5 } )=$$

Evaluate

$$\frac{110000}{3}\approx 36666.666666667$$

Solution Steps

Express 10000\times \frac{11}{3} as a single fraction.

$$\frac{10000\times 11}{3}+5000\left(-\frac{6}{5}\times \frac{11}{3}+\frac{22}{5}\right)$$

Multiply 10000 and 11 to get 110000.

$$\frac{110000}{3}+5000\left(-\frac{6}{5}\times \frac{11}{3}+\frac{22}{5}\right)$$

Multiply -\frac{6}{5} times \frac{11}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{110000}{3}+5000\left(\frac{-6\times 11}{5\times 3}+\frac{22}{5}\right)$$

Do the multiplications in the fraction \frac{-6\times 11}{5\times 3}.

$$\frac{110000}{3}+5000\left(\frac{-66}{15}+\frac{22}{5}\right)$$

Reduce the fraction \frac{-66}{15} to lowest terms by extracting and canceling out 3.

$$\frac{110000}{3}+5000\left(-\frac{22}{5}+\frac{22}{5}\right)$$

Add -\frac{22}{5} and \frac{22}{5} to get 0.

$$\frac{110000}{3}+5000\times 0$$

Multiply 5000 and 0 to get 0.

$$\frac{110000}{3}+0$$

Add \frac{110000}{3} and 0 to get \frac{110000}{3}.

$$\frac{110000}{3}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {4} \cdot 11}{3} = 36666\frac{2}{3} = 36666.666666666664$$