Evaluate ((72÷27)÷40*15)÷8

$72 \div 27 \div 40 \cdot 15 \div 8$

Step 1

Rewrite the division as a fraction.

$\frac{72 \div 27 \div 40 \cdot 15}{8}$

Step 2

Cancel the common factor of $72$ and $27$ .

Factor $9$ out of $72$ .

$\frac{9 (8) \div 27 \div 40 \cdot 15}{8}$

Cancel the common factors.

Factor $9$ out of $27$ .

$\frac{9 \cdot 8 \div 9 \cdot 3 \div 40 \cdot 15}{8}$

Cancel the common factor.

$\frac{9 \cdot 8 \div 9 \cdot 3 \div 40 \cdot 15}{8}$

Rewrite the expression.

$\frac{\frac{8}{3} \div 40 \cdot 15}{8}$

Step 3

Combine $\frac{8}{3} \div 40$ and $15$ .

$\frac{\frac{\frac{8}{3} \cdot 15}{40}}{8}$

Step 4

Combine $\frac{8}{3}$ and $15$ .

$\frac{\frac{\frac{8 \cdot 15}{3}}{40}}{8}$

Step 5

Simplify the expression.

Multiply $8$ by $15$ .

$\frac{\frac{\frac{120}{3}}{40}}{8}$

Divide $120$ by $3$ .

$\frac{\frac{40}{40}}{8}$

Divide $40$ by $40$ .

$\frac{1}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{8}$

Decimal Form:

$0.125$