Solve (324*2-324*2*78.5%)+703.36+324*4

$$(324 \times 2-324 \times 2 \times 78.5 \% )+703.36+324 \times 4$$

Evaluate

$$2138.68$$

Solution Steps

Multiply 324 and 2 to get 648.

$$648-324\times 2\times \frac{78.5}{100}+703.36+324\times 4$$

Multiply 324 and 2 to get 648.

$$648-648\times \frac{78.5}{100}+703.36+324\times 4$$

Expand \frac{78.5}{100} by multiplying both numerator and the denominator by 10.

$$648-648\times \frac{785}{1000}+703.36+324\times 4$$

Reduce the fraction \frac{785}{1000} to lowest terms by extracting and canceling out 5.

$$648-648\times \frac{157}{200}+703.36+324\times 4$$

Express 648\times \frac{157}{200} as a single fraction.

$$648-\frac{648\times 157}{200}+703.36+324\times 4$$

Multiply 648 and 157 to get 101736.

$$648-\frac{101736}{200}+703.36+324\times 4$$

Reduce the fraction \frac{101736}{200} to lowest terms by extracting and canceling out 8.

$$648-\frac{12717}{25}+703.36+324\times 4$$

Convert 648 to fraction \frac{16200}{25}.

$$\frac{16200}{25}-\frac{12717}{25}+703.36+324\times 4$$

Since \frac{16200}{25} and \frac{12717}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16200-12717}{25}+703.36+324\times 4$$

Subtract 12717 from 16200 to get 3483.

$$\frac{3483}{25}+703.36+324\times 4$$

Convert decimal number 703.36 to fraction \frac{70336}{100}. Reduce the fraction \frac{70336}{100} to lowest terms by extracting and canceling out 4.

$$\frac{3483}{25}+\frac{17584}{25}+324\times 4$$

Since \frac{3483}{25} and \frac{17584}{25} have the same denominator, add them by adding their numerators.

$$\frac{3483+17584}{25}+324\times 4$$

Add 3483 and 17584 to get 21067.

$$\frac{21067}{25}+324\times 4$$

Multiply 324 and 4 to get 1296.

$$\frac{21067}{25}+1296$$

Convert 1296 to fraction \frac{32400}{25}.

$$\frac{21067}{25}+\frac{32400}{25}$$

Since \frac{21067}{25} and \frac{32400}{25} have the same denominator, add them by adding their numerators.

$$\frac{21067+32400}{25}$$

Add 21067 and 32400 to get 53467.

$$\frac{53467}{25}$$

Factor

$$\frac{127 \cdot 421}{5 ^ {2}} = 2138\frac{17}{25} = 2138.68$$