Divide 6 1/4÷5

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

Step 1

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

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

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

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $6$ by $4$ .

$\frac{24 + 1}{4} \div 5$

Add $24$ and $1$ .

$\frac{25}{4} \div 5$

Step 2

Rewrite the division as a fraction.

$\frac{\frac{25}{4}}{5}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{25}{4} \cdot \frac{1}{5}$

Step 4

Cancel the common factor of $5$ .

Factor $5$ out of $25$ .

$\frac{5 (5)}{4} \cdot \frac{1}{5}$

Cancel the common factor.

$\frac{5 \cdot 5}{4} \cdot \frac{1}{5}$

Rewrite the expression.

$\frac{5}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{4}$

Decimal Form:

$1.25$

Mixed Number Form:

$1 \frac{1}{4}$