Solve 999*(1184/5-1/5-183/5)

$$999 \times ( 118 \frac { 4 } { 5 } - \frac{ 1 }{ 5 } - 18 \frac { 3 } { 5 } )$$

Evaluate

$$99900$$

Solution Steps

Multiply 118 and 5 to get 590.

$$999\left(\frac{590+4}{5}-\frac{1}{5}-\frac{18\times 5+3}{5}\right)$$

Add 590 and 4 to get 594.

$$999\left(\frac{594}{5}-\frac{1}{5}-\frac{18\times 5+3}{5}\right)$$

Since \frac{594}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$999\left(\frac{594-1}{5}-\frac{18\times 5+3}{5}\right)$$

Subtract 1 from 594 to get 593.

$$999\left(\frac{593}{5}-\frac{18\times 5+3}{5}\right)$$

Multiply 18 and 5 to get 90.

$$999\left(\frac{593}{5}-\frac{90+3}{5}\right)$$

Add 90 and 3 to get 93.

$$999\left(\frac{593}{5}-\frac{93}{5}\right)$$

Since \frac{593}{5} and \frac{93}{5} have the same denominator, subtract them by subtracting their numerators.

$$999\times \frac{593-93}{5}$$

Subtract 93 from 593 to get 500.

$$999\times \frac{500}{5}$$

Divide 500 by 5 to get 100.

$$999\times 100$$

Multiply 999 and 100 to get 99900.

$$99900$$

Factor

$$2^{2}\times 3^{3}\times 5^{2}\times 37$$