Solve 12*3*8*(80+250/4)

$$12 \times 3 \times 8 \times (80+ \frac{ 250 }{ 4 } )$$

Evaluate

$$41040$$

Solution Steps

Multiply 12 and 3 to get 36.

$$36\times 8\left(80+\frac{250}{4}\right)$$

Multiply 36 and 8 to get 288.

$$288\left(80+\frac{250}{4}\right)$$

Reduce the fraction \frac{250}{4} to lowest terms by extracting and canceling out 2.

$$288\left(80+\frac{125}{2}\right)$$

Convert 80 to fraction \frac{160}{2}.

$$288\left(\frac{160}{2}+\frac{125}{2}\right)$$

Since \frac{160}{2} and \frac{125}{2} have the same denominator, add them by adding their numerators.

$$288\times \frac{160+125}{2}$$

Add 160 and 125 to get 285.

$$288\times \frac{285}{2}$$

Express 288\times \frac{285}{2} as a single fraction.

$$\frac{288\times 285}{2}$$

Multiply 288 and 285 to get 82080.

$$\frac{82080}{2}$$

Divide 82080 by 2 to get 41040.

$$41040$$

Factor

$$2^{4}\times 3^{3}\times 5\times 19$$