Evaluate (800006%120)÷360

$80000 \cdot 6 % \cdot 120 \div 360$

Step 1

Rewrite the division as a fraction.

$\frac{80000 \cdot 6 % \cdot 120}{360}$

Step 2

Reduce the expression by cancelling the common factors.

Cancel the common factor of $80000$ and $360$ .

Factor $40$ out of $80000 \cdot 6 % \cdot 120$ .

$\frac{40 (2000 \cdot 6 % \cdot 120)}{360}$

Cancel the common factors.

Factor $40$ out of $360$ .

$\frac{40 (2000 \cdot 6 % \cdot 120)}{40 (9)}$

Cancel the common factor.

$\frac{40 (2000 \cdot 6 % \cdot 120)}{40 \cdot 9}$

Rewrite the expression.

$\frac{2000 \cdot 6 % \cdot 120}{9}$

Cancel the common factor of $120$ and $9$ .

Factor $3$ out of $2000 \cdot 6 % \cdot 120$ .

$\frac{3 (2000 \cdot 6 % \cdot 40)}{9}$

Cancel the common factors.

Factor $3$ out of $9$ .

$\frac{3 (2000 \cdot 6 % \cdot 40)}{3 (3)}$

Cancel the common factor.

$\frac{3 (2000 \cdot 6 % \cdot 40)}{3 \cdot 3}$

Rewrite the expression.

$\frac{2000 \cdot 6 % \cdot 40}{3}$

Multiply $40$ by $2000$ .

$\frac{80000 \cdot 6 %}{3}$

Step 3

Convert $6 %$ to a decimal.

$\frac{80000 \cdot 0.06}{3}$

Step 4

Simplify the expression.

Multiply $80000$ by $0.06$ .

$\frac{4800}{3}$

Divide $4800$ by $3$ .

$1600$

Evaluate (80000*6%*120)÷360