Solve 2*750000/30*13.58(50-frac{13.58{3})}

$$\frac{ 2 \times 750000 }{ 30 \times 13.58(50- \frac{ 13.58 }{ 3 } ) }$$

Evaluate

$$\frac{375000000}{4631459}\approx 80.968005978$$

Solution Steps

Multiply 2 and 750000 to get 1500000.

$$\frac{1500000}{30\times 13.58\left(50-\frac{13.58}{3}\right)}$$

Multiply 30 and 13.58 to get 407.4.

$$\frac{1500000}{407.4\left(50-\frac{13.58}{3}\right)}$$

Expand \frac{13.58}{3} by multiplying both numerator and the denominator by 100.

$$\frac{1500000}{407.4\left(50-\frac{1358}{300}\right)}$$

Reduce the fraction \frac{1358}{300} to lowest terms by extracting and canceling out 2.

$$\frac{1500000}{407.4\left(50-\frac{679}{150}\right)}$$

Convert 50 to fraction \frac{7500}{150}.

$$\frac{1500000}{407.4\left(\frac{7500}{150}-\frac{679}{150}\right)}$$

Since \frac{7500}{150} and \frac{679}{150} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1500000}{407.4\times \frac{7500-679}{150}}$$

Subtract 679 from 7500 to get 6821.

$$\frac{1500000}{407.4\times \frac{6821}{150}}$$

Convert decimal number 407.4 to fraction \frac{4074}{10}. Reduce the fraction \frac{4074}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1500000}{\frac{2037}{5}\times \frac{6821}{150}}$$

Multiply \frac{2037}{5} times \frac{6821}{150} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1500000}{\frac{2037\times 6821}{5\times 150}}$$

Do the multiplications in the fraction \frac{2037\times 6821}{5\times 150}.

$$\frac{1500000}{\frac{13894377}{750}}$$

Reduce the fraction \frac{13894377}{750} to lowest terms by extracting and canceling out 3.

$$\frac{1500000}{\frac{4631459}{250}}$$

Divide 1500000 by \frac{4631459}{250} by multiplying 1500000 by the reciprocal of \frac{4631459}{250}.

$$1500000\times \frac{250}{4631459}$$

Express 1500000\times \frac{250}{4631459} as a single fraction.

$$\frac{1500000\times 250}{4631459}$$

Multiply 1500000 and 250 to get 375000000.

$$\frac{375000000}{4631459}$$

Factor

$$\frac{3 \cdot 2 ^ {6} \cdot 5 ^ {9}}{7 \cdot 19 \cdot 97 \cdot 359} = 80\frac{4483280}{4631459} = 80.96800597824573$$