Basic Math Examples

$(3 \cdot 2) \cdot 4 = 3 \cdot (a \cdot 24)$

Step 1

Rewrite the equation as $3 \cdot a \cdot 24 = 3 \cdot 2 \cdot 4$ .

$3 \cdot a \cdot 24 = 3 \cdot 2 \cdot 4$

Step 2

Simplify.

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Step 2.1

Multiply $24$ by $3$ .

$72 \cdot a = 3 \cdot 2 \cdot 4$

Step 2.2

Multiply $3$ by $2$ .

$72 \cdot a = 6 \cdot 4$

Step 2.3

Multiply $6$ by $4$ .

$72 \cdot a = 24$

Step 3

Divide each term in $72 \cdot a = 24$ by $72$ and simplify.

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Step 3.1

Divide each term in $72 \cdot a = 24$ by $72$ .

$\frac{72 \cdot a}{72} = \frac{24}{72}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $72$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{72 \cdot a}{72} = \frac{24}{72}$

Step 3.2.1.2

Divide $a$ by $1$ .

$a = \frac{24}{72}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $24$ and $72$ .

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Step 3.3.1.1

Factor $24$ out of $24$ .

$a = \frac{24 (1)}{72}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Factor $24$ out of $72$ .

$a = \frac{24 \cdot 1}{24 \cdot 3}$

Step 3.3.1.2.2

Cancel the common factor.

$a = \frac{24 \cdot 1}{24 \cdot 3}$

Step 3.3.1.2.3

Rewrite the expression.

$a = \frac{1}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$a = \frac{1}{3}$

Decimal Form:

$a = 0.\overline{3}$