Simplify 4 1/2/4 1/6

$\frac{4 \frac{1}{2}}{4 \frac{1}{6}}$

Convert $4 \frac{1}{2}$ to an improper fraction.

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

$\frac{4 + \frac{1}{2}}{4 \frac{1}{6}}$

Add $4$ and $\frac{1}{2}$ .

To write $4$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{4 \cdot \frac{2}{2} + \frac{1}{2}}{4 \frac{1}{6}}$

Combine $4$ and $\frac{2}{2}$ .

$\frac{\frac{4 \cdot 2}{2} + \frac{1}{2}}{4 \frac{1}{6}}$

Combine the numerators over the common denominator.

$\frac{\frac{4 \cdot 2 + 1}{2}}{4 \frac{1}{6}}$

Simplify the numerator.

Multiply $4$ by $2$ .

$\frac{\frac{8 + 1}{2}}{4 \frac{1}{6}}$

Add $8$ and $1$ .

$\frac{\frac{9}{2}}{4 \frac{1}{6}}$

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

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

$\frac{\frac{9}{2}}{4 + \frac{1}{6}}$

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

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

$\frac{\frac{9}{2}}{4 \cdot \frac{6}{6} + \frac{1}{6}}$

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

$\frac{\frac{9}{2}}{\frac{4 \cdot 6}{6} + \frac{1}{6}}$

Combine the numerators over the common denominator.

$\frac{\frac{9}{2}}{\frac{4 \cdot 6 + 1}{6}}$

Simplify the numerator.

Multiply $4$ by $6$ .

$\frac{\frac{9}{2}}{\frac{24 + 1}{6}}$

Add $24$ and $1$ .

$\frac{\frac{9}{2}}{\frac{25}{6}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{9}{2} \cdot \frac{6}{25}$

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

$\frac{9}{2} \cdot \frac{2 (3)}{25}$

Cancel the common factor.

$\frac{9}{2} \cdot \frac{2 \cdot 3}{25}$

Rewrite the expression.

$9 (\frac{3}{25})$

Combine $9$ and $\frac{3}{25}$ .

$\frac{9 \cdot 3}{25}$

Multiply $9$ by $3$ .

$\frac{27}{25}$

The result can be shown in multiple forms.

Exact Form:

$\frac{27}{25}$

Decimal Form:

$1.08$

Mixed Number Form:

$1 \frac{2}{25}$

Simplify 4 1/2/4 1/6

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