Algebra Examples

$36 \div (3^{2} \div \frac{3}{4}) - 2.4$

Step 1

Simplify each term.

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Step 1.1

To divide by a fraction, multiply by its reciprocal.

$36 \frac{\frac{3}{4}}{3^{2}} - 2.4$

Step 1.2

Multiply the numerator by the reciprocal of the denominator.

$36 (\frac{3}{4} \cdot \frac{1}{3^{2}}) - 2.4$

Step 1.3

Combine.

$36 \frac{3 \cdot 1}{4 \cdot 3^{2}} - 2.4$

Step 1.4

Cancel the common factor of $4$ .

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Step 1.4.1

Factor $4$ out of $36$ .

$4 (9) \frac{3 \cdot 1}{4 \cdot 3^{2}} - 2.4$

Step 1.4.2

Factor $4$ out of $4 \cdot 3^{2}$ .

$4 (9) \frac{3 \cdot 1}{4 (3^{2})} - 2.4$

Step 1.4.3

Cancel the common factor.

$4 \cdot 9 \frac{3 \cdot 1}{4 \cdot 3^{2}} - 2.4$

Step 1.4.4

Rewrite the expression.

$9 \frac{3 \cdot 1}{3^{2}} - 2.4$

Step 1.5

Multiply $3$ by $1$ .

$9 \frac{3}{3^{2}} - 2.4$

Step 1.6

Combine $9$ and $\frac{3}{3^{2}}$ .

$\frac{9 \cdot 3}{3^{2}} - 2.4$

Step 1.7

Multiply $9$ by $3$ .

$\frac{27}{3^{2}} - 2.4$

Step 1.8

Raise $3$ to the power of $2$ .

$\frac{27}{9} - 2.4$

Step 1.9

Divide $27$ by $9$ .

$3 - 2.4$

Step 2

Subtract $2.4$ from $3$ .

$0.6$