Basic Math Examples

$\frac{224 - 222}{18 \sqrt{100}}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Cancel the common factor of $224 - 222$ and $18$ .

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Step 1.1.1

Factor $2$ out of $224$ .

$\frac{2 (112) - 222}{18 \sqrt{100}}$

Step 1.1.2

Factor $2$ out of $- 222$ .

$\frac{2 \cdot 112 + 2 \cdot - 111}{18 \sqrt{100}}$

Step 1.1.3

Factor $2$ out of $2 \cdot 112 + 2 \cdot - 111$ .

$\frac{2 \cdot (112 - 111)}{18 \sqrt{100}}$

Step 1.1.4

Cancel the common factors.

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Step 1.1.4.1

Factor $2$ out of $18 \sqrt{100}$ .

$\frac{2 \cdot (112 - 111)}{2 (9 \sqrt{100})}$

Step 1.1.4.2

Cancel the common factor.

$\frac{2 \cdot (112 - 111)}{2 (9 \sqrt{100})}$

Step 1.1.4.3

Rewrite the expression.

$\frac{112 - 111}{9 \sqrt{100}}$

Step 1.2

Subtract $111$ from $112$ .

$\frac{1}{9 \sqrt{100}}$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite $100$ as $10^{2}$ .

$\frac{1}{9 \sqrt{10^{2}}}$

Step 2.2

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

$\frac{1}{9 \cdot 10}$

Step 3

Multiply $9$ by $10$ .

$\frac{1}{90}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{90}$

Decimal Form:

$0.0\overline{1}$