Basic Math Examples

$\frac{11}{11} \cdot \frac{1}{1} \cdot \frac{\frac{\frac{1}{1} \cdot 1 \frac{1}{1}}{1}}{\frac{1}{1}} \cdot \frac{1}{1} \cdot \frac{1}{1} \cdot 11 \cdot 1$

Step 1

A mixed number is an addition of its whole and fractional parts.

$\frac{11}{11} \cdot \frac{1}{1} \cdot \frac{\frac{\frac{1}{1} \cdot (1 + \frac{1}{1})}{1}}{\frac{1}{1}} \cdot \frac{1}{1} \cdot \frac{1}{1} \cdot 11 \cdot 1$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $1$ .

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Step 2.1.1

Cancel the common factor.

$\frac{11}{11} \cdot \frac{1}{1} \cdot \frac{\frac{\frac{1}{1} \cdot (1 + \frac{1}{1})}{1}}{\frac{1}{1}} \cdot \frac{1}{1} \cdot \frac{1}{1} \cdot 11 \cdot 1$

Step 2.1.2

Rewrite the expression.

$\frac{11}{11} \cdot \frac{1}{1} \cdot \frac{\frac{\frac{1}{1} \cdot (1 + \frac{1}{1})}{1}}{\frac{1}{1}} \cdot \frac{1}{1} \cdot 1 \cdot 11 \cdot 1$

Step 2.2

Multiply $\frac{11}{11} \cdot \frac{1}{1} \cdot \frac{\frac{\frac{1}{1} \cdot (1 + \frac{1}{1})}{1}}{\frac{1}{1}} \cdot \frac{1}{1}$ by $1$ .

$\frac{11}{11} \cdot \frac{1}{1} \cdot \frac{\frac{\frac{1}{1} \cdot (1 + \frac{1}{1})}{1}}{\frac{1}{1}} \cdot \frac{1}{1} \cdot 11 \cdot 1$

Step 2.3

Cancel the common factor of $1$ .

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Step 2.3.1

Cancel the common factor.

$\frac{11}{11} \cdot \frac{1}{1} \cdot \frac{\frac{\frac{1}{1} \cdot (1 + \frac{1}{1})}{1}}{\frac{1}{1}} \cdot \frac{1}{1} \cdot 11 \cdot 1$

Step 2.3.2

Rewrite the expression.

$\frac{11}{11} \cdot \frac{1}{1} \cdot \frac{\frac{\frac{1}{1} \cdot (1 + \frac{1}{1})}{1}}{\frac{1}{1}} \cdot 1 \cdot 11 \cdot 1$

Step 2.4

Multiply $\frac{11}{11} \cdot \frac{1}{1} \cdot \frac{\frac{\frac{1}{1} \cdot (1 + \frac{1}{1})}{1}}{\frac{1}{1}}$ by $1$ .

$\frac{11}{11} \cdot \frac{1}{1} \cdot \frac{\frac{\frac{1}{1} \cdot (1 + \frac{1}{1})}{1}}{\frac{1}{1}} \cdot 11 \cdot 1$

Step 3

Simplify the numerator.

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Step 3.1

Divide $1$ by $1$ .

$\frac{11}{11} \cdot \frac{1}{1} \cdot \frac{\frac{1 (1 + \frac{1}{1})}{1}}{\frac{1}{1}} \cdot 11 \cdot 1$

Step 3.2

Multiply $1 + \frac{1}{1}$ by $1$ .

$\frac{11}{11} \cdot \frac{1}{1} \cdot \frac{\frac{1 + \frac{1}{1}}{1}}{\frac{1}{1}} \cdot 11 \cdot 1$

Step 3.3

Divide $1$ by $1$ .

$\frac{11}{11} \cdot \frac{1}{1} \cdot \frac{\frac{1 + 1}{1}}{\frac{1}{1}} \cdot 11 \cdot 1$

Step 3.4

Add $1$ and $1$ .

$\frac{11}{11} \cdot \frac{1}{1} \cdot \frac{\frac{2}{1}}{\frac{1}{1}} \cdot 11 \cdot 1$

Step 4

Reduce the expression by cancelling the common factors.

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Step 4.1

Divide $2$ by $1$ .

$\frac{11}{11} \cdot \frac{1}{1} \cdot \frac{2}{\frac{1}{1}} \cdot 11 \cdot 1$

Step 4.2

Divide $1$ by $1$ .

$\frac{11}{11} \cdot \frac{1}{1} \cdot \frac{2}{1} \cdot 11 \cdot 1$

Step 4.3

Cancel the common factor of $11$ .

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Step 4.3.1

Cancel the common factor.

$\frac{11}{11} \cdot \frac{1}{1} \cdot \frac{2}{1} \cdot 11 \cdot 1$

Step 4.3.2

Rewrite the expression.

$1 \cdot \frac{1}{1} \cdot \frac{2}{1} \cdot 11 \cdot 1$

Step 4.4

Cancel the common factor of $1$ .

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Step 4.4.1

Cancel the common factor.

$1 \cdot \frac{1}{1} \cdot \frac{2}{1} \cdot 11 \cdot 1$

Step 4.4.2

Rewrite the expression.

$1 \cdot 1 \cdot \frac{2}{1} \cdot 11 \cdot 1$

Step 4.5

Simplify the expression.

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Step 4.5.1

Multiply $1$ by $1$ .

$1 \cdot \frac{2}{1} \cdot 11 \cdot 1$

Step 4.5.2

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

$\frac{2}{1} \cdot 11 \cdot 1$

Step 4.5.3

Divide $2$ by $1$ .

$2 \cdot 11 \cdot 1$

Step 5

Multiply $2 \cdot 11 \cdot 1$ .

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Step 5.1

Multiply $2$ by $11$ .

$22 \cdot 1$

Step 5.2

Multiply $22$ by $1$ .

$22$