Algebra Examples

$72 \div 5 \div 9 \div 4 \div 3 \cdot 60$

Step 1

Rewrite the division as a fraction.

$\frac{72}{5} \div 9 \div 4 \div 3 \cdot 60$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite the division as a fraction.

$\frac{\frac{72}{5}}{9} \div 4 \div 3 \cdot 60$

Step 2.2

Multiply the numerator by the reciprocal of the denominator.

$\frac{72}{5} \cdot \frac{1}{9} \div 4 \div 3 \cdot 60$

Step 2.3

Cancel the common factor of $9$ .

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Step 2.3.1

Factor $9$ out of $72$ .

$\frac{9 (8)}{5} \cdot \frac{1}{9} \div 4 \div 3 \cdot 60$

Step 2.3.2

Cancel the common factor.

$\frac{9 \cdot 8}{5} \cdot \frac{1}{9} \div 4 \div 3 \cdot 60$

Step 2.3.3

Rewrite the expression.

$\frac{8}{5} \div 4 \div 3 \cdot 60$

Step 3

Simplify the numerator.

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Step 3.1

Rewrite the division as a fraction.

$\frac{\frac{8}{5}}{4} \div 3 \cdot 60$

Step 3.2

Multiply the numerator by the reciprocal of the denominator.

$\frac{8}{5} \cdot \frac{1}{4} \div 3 \cdot 60$

Step 3.3

Cancel the common factor of $4$ .

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Step 3.3.1

Factor $4$ out of $8$ .

$\frac{4 (2)}{5} \cdot \frac{1}{4} \div 3 \cdot 60$

Step 3.3.2

Cancel the common factor.

$\frac{4 \cdot 2}{5} \cdot \frac{1}{4} \div 3 \cdot 60$

Step 3.3.3

Rewrite the expression.

$\frac{2}{5} \div 3 \cdot 60$

Step 4

Rewrite the division as a fraction.

$\frac{\frac{2}{5}}{3} \cdot 60$

Step 5

Cancel the common factor of $3$ .

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Step 5.1

Factor $3$ out of $60$ .

$\frac{\frac{2}{5}}{3} \cdot (3 (20))$

Step 5.2

Cancel the common factor.

$\frac{\frac{2}{5}}{3} \cdot (3 \cdot 20)$

Step 5.3

Rewrite the expression.

$\frac{2}{5} \cdot 20$

Step 6

Combine $\frac{2}{5}$ and $20$ .

$\frac{2 \cdot 20}{5}$

Step 7

Simplify the expression.

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Step 7.1

Multiply $2$ by $20$ .

$\frac{40}{5}$

Step 7.2

Divide $40$ by $5$ .

$8$