Basic Math Examples

$\frac{4}{2 y} + \frac{25}{5 y}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $4$ and $2$ .

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Step 1.1.1

Factor $2$ out of $4$ .

$\frac{2 \cdot 2}{2 y} + \frac{25}{5 y}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $2$ out of $2 y$ .

$\frac{2 \cdot 2}{2 (y)} + \frac{25}{5 y}$

Step 1.1.2.2

Cancel the common factor.

$\frac{2 \cdot 2}{2 y} + \frac{25}{5 y}$

Step 1.1.2.3

Rewrite the expression.

$\frac{2}{y} + \frac{25}{5 y}$

$\frac{2}{y} + \frac{25}{5 y}$

$\frac{2}{y} + \frac{25}{5 y}$

Step 1.2

Cancel the common factor of $25$ and $5$ .

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Step 1.2.1

Factor $5$ out of $25$ .

$\frac{2}{y} + \frac{5 \cdot 5}{5 y}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $5$ out of $5 y$ .

$\frac{2}{y} + \frac{5 \cdot 5}{5 (y)}$

Step 1.2.2.2

Cancel the common factor.

$\frac{2}{y} + \frac{5 \cdot 5}{5 y}$

Step 1.2.2.3

Rewrite the expression.

$\frac{2}{y} + \frac{5}{y}$

$\frac{2}{y} + \frac{5}{y}$

$\frac{2}{y} + \frac{5}{y}$

$\frac{2}{y} + \frac{5}{y}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{2 + 5}{y}$

Step 2.2

Add $2$ and $5$ .

$\frac{7}{y}$

$\frac{7}{y}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$