Basic Math Examples

$1 \frac{1}{2} \div 3$

Step 1

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

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Step 1.1

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

$(1 + \frac{1}{2}) \div 3$

Step 1.2

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

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

$(\frac{2}{2} + \frac{1}{2}) \div 3$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{2 + 1}{2} \div 3$

Step 1.2.3

Add $2$ and $1$ .

$\frac{3}{2} \div 3$

Step 2

Rewrite the division as a fraction.

$\frac{\frac{3}{2}}{3}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{3}{2} \cdot \frac{1}{3}$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Cancel the common factor.

$\frac{3}{2} \cdot \frac{1}{3}$

Step 4.2

Rewrite the expression.

$\frac{1}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$