Basic Math Examples

$106 \cdot \frac{23}{53} \cdot \frac{1}{4}$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $106 \cdot \frac{23}{53}$ .

$2 (53 \cdot \frac{23}{53}) \cdot \frac{1}{4}$

Step 1.2

Factor $2$ out of $4$ .

$2 (53 \cdot \frac{23}{53}) \cdot \frac{1}{2 (2)}$

Step 1.3

Cancel the common factor.

$2 (53 \cdot \frac{23}{53}) \cdot \frac{1}{2 \cdot 2}$

Step 1.4

Rewrite the expression.

$53 \cdot \frac{23}{53} \cdot \frac{1}{2}$

Step 2

Combine $53$ and $\frac{23}{53}$ .

$\frac{53 \cdot 23}{53} \cdot \frac{1}{2}$

Step 3

Multiply $53$ by $23$ .

$\frac{1219}{53} \cdot \frac{1}{2}$

Step 4

Multiply $\frac{1219}{53}$ by $\frac{1}{2}$ .

$\frac{1219}{53 \cdot 2}$

Step 5

Multiply $53$ by $2$ .

$\frac{1219}{106}$

Step 6

Cancel the common factor of $1219$ and $106$ .

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Step 6.1

Factor $53$ out of $1219$ .

$\frac{53 (23)}{106}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $53$ out of $106$ .

$\frac{53 \cdot 23}{53 \cdot 2}$

Step 6.2.2

Cancel the common factor.

$\frac{53 \cdot 23}{53 \cdot 2}$

Step 6.2.3

Rewrite the expression.

$\frac{23}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{23}{2}$

Decimal Form:

$11.5$

Mixed Number Form:

$11 \frac{1}{2}$