Divide 4 1/6÷1 2/3

$4 \frac{1}{6} \div 1 \frac{2}{3}$

Step 1

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

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

$(4 + \frac{1}{6}) \div 1 \frac{2}{3}$

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

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

$(4 \cdot \frac{6}{6} + \frac{1}{6}) \div 1 \frac{2}{3}$

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

$(\frac{4 \cdot 6}{6} + \frac{1}{6}) \div 1 \frac{2}{3}$

Combine the numerators over the common denominator.

$\frac{4 \cdot 6 + 1}{6} \div 1 \frac{2}{3}$

Simplify the numerator.

Multiply $4$ by $6$ .

$\frac{24 + 1}{6} \div 1 \frac{2}{3}$

Add $24$ and $1$ .

$\frac{25}{6} \div 1 \frac{2}{3}$

Step 2

Convert $1 \frac{2}{3}$ to an improper fraction.

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

$\frac{25}{6} \div (1 + \frac{2}{3})$

Add $1$ and $\frac{2}{3}$ .

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

$\frac{25}{6} \div (\frac{3}{3} + \frac{2}{3})$

Combine the numerators over the common denominator.

$\frac{25}{6} \div \frac{3 + 2}{3}$

Add $3$ and $2$ .

$\frac{25}{6} \div \frac{5}{3}$

Step 3

To divide by a fraction, multiply by its reciprocal.

$\frac{25}{6} \cdot \frac{3}{5}$

Step 4

Cancel the common factor of $5$ .

Factor $5$ out of $25$ .

$\frac{5 (5)}{6} \cdot \frac{3}{5}$

Cancel the common factor.

$\frac{5 \cdot 5}{6} \cdot \frac{3}{5}$

Rewrite the expression.

$\frac{5}{6} \cdot 3$

Step 5

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$\frac{5}{3 (2)} \cdot 3$

Cancel the common factor.

$\frac{5}{3 \cdot 2} \cdot 3$

Rewrite the expression.

$\frac{5}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{2}$

Decimal Form:

$2.5$

Mixed Number Form:

$2 \frac{1}{2}$

Divide 4 1/6÷1 2/3

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