Finite Math Examples

$\frac{1}{4} \cdot (4 + \sqrt{2})$

Step 1

Apply the distributive property.

$\frac{1}{4} \cdot 4 + \frac{1}{4} \sqrt{2}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Cancel the common factor.

$\frac{1}{4} \cdot 4 + \frac{1}{4} \sqrt{2}$

Step 2.2

Rewrite the expression.

$1 + \frac{1}{4} \sqrt{2}$

Step 3

Combine $\frac{1}{4}$ and $\sqrt{2}$ .

$1 + \frac{\sqrt{2}}{4}$

Step 4

Simplify the expression.

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Step 4.1

Write $1$ as a fraction with a common denominator.

$\frac{4}{4} + \frac{\sqrt{2}}{4}$

Step 4.2

Combine the numerators over the common denominator.

$\frac{4 + \sqrt{2}}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{4 + \sqrt{2}}{4}$

Decimal Form:

$1.35355339 \dots$