Basic Math Examples

$\frac{15}{30} + \frac{10}{20}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $15$ and $30$ .

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Step 1.1.1

Factor $15$ out of $15$ .

$\frac{15 (1)}{30} + \frac{10}{20}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $15$ out of $30$ .

$\frac{15 \cdot 1}{15 \cdot 2} + \frac{10}{20}$

Step 1.1.2.2

Cancel the common factor.

$\frac{15 \cdot 1}{15 \cdot 2} + \frac{10}{20}$

Step 1.1.2.3

Rewrite the expression.

$\frac{1}{2} + \frac{10}{20}$

$\frac{1}{2} + \frac{10}{20}$

$\frac{1}{2} + \frac{10}{20}$

Step 1.2

Cancel the common factor of $10$ and $20$ .

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Step 1.2.1

Factor $10$ out of $10$ .

$\frac{1}{2} + \frac{10 (1)}{20}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $10$ out of $20$ .

$\frac{1}{2} + \frac{10 \cdot 1}{10 \cdot 2}$

Step 1.2.2.2

Cancel the common factor.

$\frac{1}{2} + \frac{10 \cdot 1}{10 \cdot 2}$

Step 1.2.2.3

Rewrite the expression.

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

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

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

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

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

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

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $1$ and $1$ .

$\frac{2}{2}$

Step 2.2.2

Divide $2$ by $2$ .

$1$

$1$

$1$

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