Solve 0.77/0.8*0.91001/3600left(435-400right)/0.11

$$\frac{ 0.77 }{ 0.8 \cdot 0.9 } \frac{ 100 \frac{ 1 }{ 3600 } \left( 435-400 \right) }{ 0.11 }$$

Evaluate

$$\frac{88200245}{2592}\approx 34027.872299383$$

Solution Steps

Multiply 0.8 and 0.9 to get 0.72.

$$\frac{0.77}{0.72}\times \frac{\frac{100\times 3600+1}{3600}\left(435-400\right)}{0.11}$$

Expand \frac{0.77}{0.72} by multiplying both numerator and the denominator by 100.

$$\frac{77}{72}\times \frac{\frac{100\times 3600+1}{3600}\left(435-400\right)}{0.11}$$

Multiply 100 and 3600 to get 360000.

$$\frac{77}{72}\times \frac{\frac{360000+1}{3600}\left(435-400\right)}{0.11}$$

Add 360000 and 1 to get 360001.

$$\frac{77}{72}\times \frac{\frac{360001}{3600}\left(435-400\right)}{0.11}$$

Subtract 400 from 435 to get 35.

$$\frac{77}{72}\times \frac{\frac{360001}{3600}\times 35}{0.11}$$

Express \frac{360001}{3600}\times 35 as a single fraction.

$$\frac{77}{72}\times \frac{\frac{360001\times 35}{3600}}{0.11}$$

Multiply 360001 and 35 to get 12600035.

$$\frac{77}{72}\times \frac{\frac{12600035}{3600}}{0.11}$$

Reduce the fraction \frac{12600035}{3600} to lowest terms by extracting and canceling out 5.

$$\frac{77}{72}\times \frac{\frac{2520007}{720}}{0.11}$$

Express \frac{\frac{2520007}{720}}{0.11} as a single fraction.

$$\frac{77}{72}\times \frac{2520007}{720\times 0.11}$$

Multiply 720 and 0.11 to get 79.2.

$$\frac{77}{72}\times \frac{2520007}{79.2}$$

Expand \frac{2520007}{79.2} by multiplying both numerator and the denominator by 10.

$$\frac{77}{72}\times \frac{25200070}{792}$$

Reduce the fraction \frac{25200070}{792} to lowest terms by extracting and canceling out 2.

$$\frac{77}{72}\times \frac{12600035}{396}$$

Multiply \frac{77}{72} times \frac{12600035}{396} by multiplying numerator times numerator and denominator times denominator.

$$\frac{77\times 12600035}{72\times 396}$$

Do the multiplications in the fraction \frac{77\times 12600035}{72\times 396}.

$$\frac{970202695}{28512}$$

Reduce the fraction \frac{970202695}{28512} to lowest terms by extracting and canceling out 11.

$$\frac{88200245}{2592}$$

Factor

$$\frac{5 \cdot 157 \cdot 2293 \cdot 7 ^ {2}}{2 ^ {5} \cdot 3 ^ {4}} = 34027\frac{2261}{2592} = 34027.87229938272$$