Basic Math Examples

$10 \div 2 \frac{1}{2}$

Step 1

Convert

$2 \frac{1}{2}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

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

Step 1.2

Add

$2$ and

$\frac{1}{2}$ .

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Step 1.2.1

To write

$2$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$10 \div (2 \cdot \frac{2}{2} + \frac{1}{2})$

Step 1.2.2

Combine

$2$ and

$\frac{2}{2}$ .

$10 \div (\frac{2 \cdot 2}{2} + \frac{1}{2})$

Step 1.2.3

Combine the numerators over the common denominator.

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$2$ by

$2$ .

$10 \div \frac{4 + 1}{2}$

Step 1.2.4.2

Add

$4$ and

$1$ .

$10 \div \frac{5}{2}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$10 (\frac{2}{5})$

Step 3

Cancel the common factor of

$5$ .

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Step 3.1

Factor

$5$ out of

$10$ .

$5 (2) \frac{2}{5}$

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$2 \cdot 2$

Step 4

Multiply

$2$ by

$2$ .

$4$