Basic Math Examples

$4 \frac{1}{6} \div 5$

Step 1

Convert $4 \frac{1}{6}$ to an improper fraction.

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Step 1.1

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

$(4 + \frac{1}{6}) \div 5$

Step 1.2

Add $4$ and $\frac{1}{6}$ .

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Step 1.2.1

To write $4$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$(4 \cdot \frac{6}{6} + \frac{1}{6}) \div 5$

Step 1.2.2

Combine $4$ and $\frac{6}{6}$ .

$(\frac{4 \cdot 6}{6} + \frac{1}{6}) \div 5$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{4 \cdot 6 + 1}{6} \div 5$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $4$ by $6$ .

$\frac{24 + 1}{6} \div 5$

Step 1.2.4.2

Add $24$ and $1$ .

$\frac{25}{6} \div 5$

Step 2

Rewrite the division as a fraction.

$\frac{\frac{25}{6}}{5}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{25}{6} \cdot \frac{1}{5}$

Step 4

Cancel the common factor of $5$ .

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Step 4.1

Factor $5$ out of $25$ .

$\frac{5 (5)}{6} \cdot \frac{1}{5}$

Step 4.2

Cancel the common factor.

$\frac{5 \cdot 5}{6} \cdot \frac{1}{5}$

Step 4.3

Rewrite the expression.

$\frac{5}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{6}$

Decimal Form:

$0.8\overline{3}$