Solve (5*(5/2)+2*4)*20

$$(5 \times ( \frac{ 5 }{ 2 } )+2 \times 4) \times 20$$

Evaluate

$$410$$

Solution Steps

Express 5\times \frac{5}{2} as a single fraction.

$$\left(\frac{5\times 5}{2}+2\times 4\right)\times 20$$

Multiply 5 and 5 to get 25.

$$\left(\frac{25}{2}+2\times 4\right)\times 20$$

Multiply 2 and 4 to get 8.

$$\left(\frac{25}{2}+8\right)\times 20$$

Convert 8 to fraction \frac{16}{2}.

$$\left(\frac{25}{2}+\frac{16}{2}\right)\times 20$$

Since \frac{25}{2} and \frac{16}{2} have the same denominator, add them by adding their numerators.

$$\frac{25+16}{2}\times 20$$

Add 25 and 16 to get 41.

$$\frac{41}{2}\times 20$$

Express \frac{41}{2}\times 20 as a single fraction.

$$\frac{41\times 20}{2}$$

Multiply 41 and 20 to get 820.

$$\frac{820}{2}$$

Divide 820 by 2 to get 410.

$$410$$

Factor

$$2\times 5\times 41$$