Basic Math Examples

$2 \frac{1}{2} \div 7$

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

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

$(2 + \frac{1}{2}) \div 7$

Add $2$ and $\frac{1}{2}$ .

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To write $2$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(2 \cdot \frac{2}{2} + \frac{1}{2}) \div 7$

Combine $2$ and $\frac{2}{2}$ .

$(\frac{2 \cdot 2}{2} + \frac{1}{2}) \div 7$

Combine the numerators over the common denominator.

$\frac{2 \cdot 2 + 1}{2} \div 7$

Simplify the numerator.

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Multiply $2$ by $2$ .

$\frac{4 + 1}{2} \div 7$

Add $4$ and $1$ .

$\frac{5}{2} \div 7$

Rewrite the division as a fraction.

$\frac{\frac{5}{2}}{7}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{5}{2} \cdot \frac{1}{7}$

Multiply $\frac{5}{2} \cdot \frac{1}{7}$ .

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Multiply $\frac{5}{2}$ by $\frac{1}{7}$ .

$\frac{5}{2 \cdot 7}$

Multiply $2$ by $7$ .

$\frac{5}{14}$

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{14}$

Decimal Form:

$0.3\overline{571428}$