Basic Math Examples

$(9 \div \frac{1}{\frac{1}{3}} \cdot \frac{4}{5}) \cdot \frac{5}{12}$

Step 1

Simplify the denominator.

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Step 1.1

Multiply the numerator by the reciprocal of the denominator.

$9 \div 1 \cdot 3 \cdot \frac{4}{5} \cdot \frac{5}{12}$

Step 1.2

Multiply $3$ by $1$ .

$9 \div 3 \cdot \frac{4}{5} \cdot \frac{5}{12}$

Step 2

Simplify terms.

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Step 2.1

Divide $9$ by $3$ .

$3 \cdot \frac{4}{5} \cdot \frac{5}{12}$

Step 2.2

Cancel the common factor of $3$ .

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Step 2.2.1

Factor $3$ out of $3 \cdot \frac{4}{5}$ .

$3 (\frac{4}{5}) \cdot \frac{5}{12}$

Step 2.2.2

Factor $3$ out of $12$ .

$3 (\frac{4}{5}) \cdot \frac{5}{3 (4)}$

Step 2.2.3

Cancel the common factor.

$3 (\frac{4}{5}) \cdot \frac{5}{3 \cdot 4}$

Step 2.2.4

Rewrite the expression.

$\frac{4}{5} \cdot \frac{5}{4}$

Step 2.3

Multiply $\frac{4}{5}$ by $\frac{5}{4}$ .

$\frac{4 \cdot 5}{5 \cdot 4}$

Step 2.4

Simplify the expression.

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Step 2.4.1

Multiply $4$ by $5$ .

$\frac{20}{5 \cdot 4}$

Step 2.4.2

Multiply $5$ by $4$ .

$\frac{20}{20}$

Step 2.4.3

Divide $20$ by $20$ .

$1$