Solve 0.5*290*290div570*10*(1-290div570div3)*10-140*280div570*10*280div570div3

$$0.5 \times 290 \times 290 \div 570 \times 10 \times (1-290 \div 570 \div 3) \times 10-140 \times 280 \div 570 \times 10 \times 280 \div 570 \div 3$$

Evaluate

$$\frac{6512600}{1083}\approx 6013.481071099$$

Solution Steps

Multiply 0.5 and 290 to get 145.

$$\frac{145\times 290}{570}\times 10\left(1-\frac{\frac{290}{570}}{3}\right)\times 10-\frac{\frac{\frac{140\times 280}{570}\times 10\times 280}{570}}{3}$$

Multiply 145 and 290 to get 42050.

$$\frac{42050}{570}\times 10\left(1-\frac{\frac{290}{570}}{3}\right)\times 10-\frac{\frac{\frac{140\times 280}{570}\times 10\times 280}{570}}{3}$$

Reduce the fraction \frac{42050}{570} to lowest terms by extracting and canceling out 10.

$$\frac{4205}{57}\times 10\left(1-\frac{\frac{290}{570}}{3}\right)\times 10-\frac{\frac{\frac{140\times 280}{570}\times 10\times 280}{570}}{3}$$

Express \frac{4205}{57}\times 10 as a single fraction.

$$\frac{4205\times 10}{57}\left(1-\frac{\frac{290}{570}}{3}\right)\times 10-\frac{\frac{\frac{140\times 280}{570}\times 10\times 280}{570}}{3}$$

Multiply 4205 and 10 to get 42050.

$$\frac{42050}{57}\left(1-\frac{\frac{290}{570}}{3}\right)\times 10-\frac{\frac{\frac{140\times 280}{570}\times 10\times 280}{570}}{3}$$

Express \frac{\frac{290}{570}}{3} as a single fraction.

$$\frac{42050}{57}\left(1-\frac{290}{570\times 3}\right)\times 10-\frac{\frac{\frac{140\times 280}{570}\times 10\times 280}{570}}{3}$$

Multiply 570 and 3 to get 1710.

$$\frac{42050}{57}\left(1-\frac{290}{1710}\right)\times 10-\frac{\frac{\frac{140\times 280}{570}\times 10\times 280}{570}}{3}$$

Reduce the fraction \frac{290}{1710} to lowest terms by extracting and canceling out 10.

$$\frac{42050}{57}\left(1-\frac{29}{171}\right)\times 10-\frac{\frac{\frac{140\times 280}{570}\times 10\times 280}{570}}{3}$$

Convert 1 to fraction \frac{171}{171}.

$$\frac{42050}{57}\left(\frac{171}{171}-\frac{29}{171}\right)\times 10-\frac{\frac{\frac{140\times 280}{570}\times 10\times 280}{570}}{3}$$

Since \frac{171}{171} and \frac{29}{171} have the same denominator, subtract them by subtracting their numerators.

$$\frac{42050}{57}\times \frac{171-29}{171}\times 10-\frac{\frac{\frac{140\times 280}{570}\times 10\times 280}{570}}{3}$$

Subtract 29 from 171 to get 142.

$$\frac{42050}{57}\times \frac{142}{171}\times 10-\frac{\frac{\frac{140\times 280}{570}\times 10\times 280}{570}}{3}$$

Multiply \frac{42050}{57} times \frac{142}{171} by multiplying numerator times numerator and denominator times denominator.

$$\frac{42050\times 142}{57\times 171}\times 10-\frac{\frac{\frac{140\times 280}{570}\times 10\times 280}{570}}{3}$$

Do the multiplications in the fraction \frac{42050\times 142}{57\times 171}.

$$\frac{5971100}{9747}\times 10-\frac{\frac{\frac{140\times 280}{570}\times 10\times 280}{570}}{3}$$

Express \frac{5971100}{9747}\times 10 as a single fraction.

$$\frac{5971100\times 10}{9747}-\frac{\frac{\frac{140\times 280}{570}\times 10\times 280}{570}}{3}$$

Multiply 5971100 and 10 to get 59711000.

$$\frac{59711000}{9747}-\frac{\frac{\frac{140\times 280}{570}\times 10\times 280}{570}}{3}$$

Express \frac{\frac{\frac{140\times 280}{570}\times 10\times 280}{570}}{3} as a single fraction.

$$\frac{59711000}{9747}-\frac{\frac{140\times 280}{570}\times 10\times 280}{570\times 3}$$

Multiply 140 and 280 to get 39200.

$$\frac{59711000}{9747}-\frac{\frac{39200}{570}\times 10\times 280}{570\times 3}$$

Reduce the fraction \frac{39200}{570} to lowest terms by extracting and canceling out 10.

$$\frac{59711000}{9747}-\frac{\frac{3920}{57}\times 10\times 280}{570\times 3}$$

Express \frac{3920}{57}\times 10 as a single fraction.

$$\frac{59711000}{9747}-\frac{\frac{3920\times 10}{57}\times 280}{570\times 3}$$

Multiply 3920 and 10 to get 39200.

$$\frac{59711000}{9747}-\frac{\frac{39200}{57}\times 280}{570\times 3}$$

Express \frac{39200}{57}\times 280 as a single fraction.

$$\frac{59711000}{9747}-\frac{\frac{39200\times 280}{57}}{570\times 3}$$

Multiply 39200 and 280 to get 10976000.

$$\frac{59711000}{9747}-\frac{\frac{10976000}{57}}{570\times 3}$$

Multiply 570 and 3 to get 1710.

$$\frac{59711000}{9747}-\frac{\frac{10976000}{57}}{1710}$$

Express \frac{\frac{10976000}{57}}{1710} as a single fraction.

$$\frac{59711000}{9747}-\frac{10976000}{57\times 1710}$$

Multiply 57 and 1710 to get 97470.

$$\frac{59711000}{9747}-\frac{10976000}{97470}$$

Reduce the fraction \frac{10976000}{97470} to lowest terms by extracting and canceling out 10.

$$\frac{59711000}{9747}-\frac{1097600}{9747}$$

Since \frac{59711000}{9747} and \frac{1097600}{9747} have the same denominator, subtract them by subtracting their numerators.

$$\frac{59711000-1097600}{9747}$$

Subtract 1097600 from 59711000 to get 58613400.

$$\frac{58613400}{9747}$$

Reduce the fraction \frac{58613400}{9747} to lowest terms by extracting and canceling out 9.

$$\frac{6512600}{1083}$$

Factor

$$\frac{32563 \cdot 2 ^ {3} \cdot 5 ^ {2}}{3 \cdot 19 ^ {2}} = 6013\frac{521}{1083} = 6013.4810710987995$$