Basic Math Examples

${(\frac{4}{8})}^{2} + 1$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $4$ and $8$ .

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Step 1.1.1

Factor $4$ out of $4$ .

${(\frac{4 (1)}{8})}^{2} + 1$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $4$ out of $8$ .

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

Step 1.1.2.2

Cancel the common factor.

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

Step 1.1.2.3

Rewrite the expression.

${(\frac{1}{2})}^{2} + 1$

Step 1.2

Apply the product rule to $\frac{1}{2}$ .

$\frac{1^{2}}{2^{2}} + 1$

Step 1.3

One to any power is one.

$\frac{1}{2^{2}} + 1$

Step 1.4

Raise $2$ to the power of $2$ .

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

Step 2

Simplify the expression.

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Step 2.1

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

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

Step 2.2

Combine the numerators over the common denominator.

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

Step 2.3

Add $1$ and $4$ .

$\frac{5}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{4}$

Decimal Form:

$1.25$

Mixed Number Form:

$1 \frac{1}{4}$