Pre-Algebra Examples

$\frac{7 x^{2} - 4 x y + 7}{7 x^{2}}$

Step 1

Split the fraction $\frac{7 x^{2} - 4 x y + 7}{7 x^{2}}$ into two fractions.

$\frac{7 x^{2} - 4 x y}{7 x^{2}} + \frac{7}{7 x^{2}}$

Step 2

Split the fraction $\frac{7 x^{2} - 4 x y}{7 x^{2}}$ into two fractions.

$\frac{7 x^{2}}{7 x^{2}} + \frac{- 4 x y}{7 x^{2}} + \frac{7}{7 x^{2}}$

Step 3

Cancel the common factor of $7$ .

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Step 3.1

Cancel the common factor.

$\frac{7 x^{2}}{7 x^{2}} + \frac{- 4 x y}{7 x^{2}} + \frac{7}{7 x^{2}}$

Step 3.2

Rewrite the expression.

$\frac{x^{2}}{x^{2}} + \frac{- 4 x y}{7 x^{2}} + \frac{7}{7 x^{2}}$

Step 4

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

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Step 4.1

Cancel the common factor.

$\frac{x^{2}}{x^{2}} + \frac{- 4 x y}{7 x^{2}} + \frac{7}{7 x^{2}}$

Step 4.2

Rewrite the expression.

$1 + \frac{- 4 x y}{7 x^{2}} + \frac{7}{7 x^{2}}$

Step 5

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

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Step 5.1

Factor $x$ out of $- 4 x y$ .

$1 + \frac{x (- 4 y)}{7 x^{2}} + \frac{7}{7 x^{2}}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $x$ out of $7 x^{2}$ .

$1 + \frac{x (- 4 y)}{x (7 x)} + \frac{7}{7 x^{2}}$

Step 5.2.2

Cancel the common factor.

$1 + \frac{x (- 4 y)}{x (7 x)} + \frac{7}{7 x^{2}}$

Step 5.2.3

Rewrite the expression.

$1 + \frac{- 4 y}{7 x} + \frac{7}{7 x^{2}}$

Step 6

Move the negative in front of the fraction.

$1 - \frac{4 y}{7 x} + \frac{7}{7 x^{2}}$

Step 7

Cancel the common factor of $7$ .

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Step 7.1

Cancel the common factor.

$1 - \frac{4 y}{7 x} + \frac{7}{7 x^{2}}$

Step 7.2

Rewrite the expression.

$1 - \frac{4 y}{7 x} + \frac{1}{x^{2}}$