Pre-Algebra Examples

$\frac{26 k^{4} - 14 k^{2} + 7}{2 k^{2}}$

Step 1

Split the fraction $\frac{26 k^{4} - 14 k^{2} + 7}{2 k^{2}}$ into two fractions.

$\frac{26 k^{4} - 14 k^{2}}{2 k^{2}} + \frac{7}{2 k^{2}}$

Step 2

Split the fraction $\frac{26 k^{4} - 14 k^{2}}{2 k^{2}}$ into two fractions.

$\frac{26 k^{4}}{2 k^{2}} + \frac{- 14 k^{2}}{2 k^{2}} + \frac{7}{2 k^{2}}$

Step 3

Cancel the common factor of $26$ and $2$ .

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Step 3.1

Factor $2$ out of $26 k^{4}$ .

$\frac{2 (13 k^{4})}{2 k^{2}} + \frac{- 14 k^{2}}{2 k^{2}} + \frac{7}{2 k^{2}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $2 k^{2}$ .

$\frac{2 (13 k^{4})}{2 (k^{2})} + \frac{- 14 k^{2}}{2 k^{2}} + \frac{7}{2 k^{2}}$

Step 3.2.2

Cancel the common factor.

$\frac{2 (13 k^{4})}{2 k^{2}} + \frac{- 14 k^{2}}{2 k^{2}} + \frac{7}{2 k^{2}}$

Step 3.2.3

Rewrite the expression.

$\frac{13 k^{4}}{k^{2}} + \frac{- 14 k^{2}}{2 k^{2}} + \frac{7}{2 k^{2}}$

Step 4

Cancel the common factor of $k^{4}$ and $k^{2}$ .

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Step 4.1

Factor $k^{2}$ out of $13 k^{4}$ .

$\frac{k^{2} (13 k^{2})}{k^{2}} + \frac{- 14 k^{2}}{2 k^{2}} + \frac{7}{2 k^{2}}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Multiply by $1$ .

$\frac{k^{2} (13 k^{2})}{k^{2} \cdot 1} + \frac{- 14 k^{2}}{2 k^{2}} + \frac{7}{2 k^{2}}$

Step 4.2.2

Cancel the common factor.

$\frac{k^{2} (13 k^{2})}{k^{2} \cdot 1} + \frac{- 14 k^{2}}{2 k^{2}} + \frac{7}{2 k^{2}}$

Step 4.2.3

Rewrite the expression.

$\frac{13 k^{2}}{1} + \frac{- 14 k^{2}}{2 k^{2}} + \frac{7}{2 k^{2}}$

Step 4.2.4

Divide $13 k^{2}$ by $1$ .

$13 k^{2} + \frac{- 14 k^{2}}{2 k^{2}} + \frac{7}{2 k^{2}}$

Step 5

Cancel the common factor of $- 14$ and $2$ .

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Step 5.1

Factor $2$ out of $- 14 k^{2}$ .

$13 k^{2} + \frac{2 (- 7 k^{2})}{2 k^{2}} + \frac{7}{2 k^{2}}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $2$ out of $2 k^{2}$ .

$13 k^{2} + \frac{2 (- 7 k^{2})}{2 (k^{2})} + \frac{7}{2 k^{2}}$

Step 5.2.2

Cancel the common factor.

$13 k^{2} + \frac{2 (- 7 k^{2})}{2 k^{2}} + \frac{7}{2 k^{2}}$

Step 5.2.3

Rewrite the expression.

$13 k^{2} + \frac{- 7 k^{2}}{k^{2}} + \frac{7}{2 k^{2}}$

Step 6

Cancel the common factor of $k^{2}$ .

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Step 6.1

Cancel the common factor.

$13 k^{2} + \frac{- 7 k^{2}}{k^{2}} + \frac{7}{2 k^{2}}$

Step 6.2

Divide $- 7$ by $1$ .

$13 k^{2} - 7 + \frac{7}{2 k^{2}}$