Basic Math Examples

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

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

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of

15

$15$ and

30

$30$ .

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Step 1.1.1

Factor

15

$15$ out of

15

$15$ .

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

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

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor

15

$15$ out of

30

$30$ .

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

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

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

$2$ .

$1$

$1$

$1$

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

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