Basic Math Examples

$\frac{111 - 100}{\frac{22}{\sqrt{4}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$(111 - 100) \frac{\sqrt{4}}{22}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $4$ as $2^{2}$ .

$(111 - 100) \frac{\sqrt{2^{2}}}{22}$

Step 2.2

Pull terms out from under the radical, assuming positive real numbers.

$(111 - 100) \frac{2}{22}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Subtract $100$ from $111$ .

$11 (\frac{2}{22})$

Step 3.2

Cancel the common factor of $11$ .

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Step 3.2.1

Factor $11$ out of $22$ .

$11 \frac{2}{11 (2)}$

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

$\frac{2}{2}$

Step 3.3

Divide $2$ by $2$ .

$1$