Divide 7 1/2÷6

$7 \frac{1}{2} \div 6$

Step 1

Convert $7 \frac{1}{2}$ to an improper fraction.

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

$(7 + \frac{1}{2}) \div 6$

Add $7$ and $\frac{1}{2}$ .

To write $7$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(7 \cdot \frac{2}{2} + \frac{1}{2}) \div 6$

Combine $7$ and $\frac{2}{2}$ .

$(\frac{7 \cdot 2}{2} + \frac{1}{2}) \div 6$

Combine the numerators over the common denominator.

$\frac{7 \cdot 2 + 1}{2} \div 6$

Simplify the numerator.

Multiply $7$ by $2$ .

$\frac{14 + 1}{2} \div 6$

Add $14$ and $1$ .

$\frac{15}{2} \div 6$

Step 2

Rewrite the division as a fraction.

$\frac{\frac{15}{2}}{6}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{15}{2} \cdot \frac{1}{6}$

Step 4

Cancel the common factor of $3$ .

Factor $3$ out of $15$ .

$\frac{3 (5)}{2} \cdot \frac{1}{6}$

Factor $3$ out of $6$ .

$\frac{3 \cdot 5}{2} \cdot \frac{1}{3 \cdot 2}$

Cancel the common factor.

$\frac{3 \cdot 5}{2} \cdot \frac{1}{3 \cdot 2}$

Rewrite the expression.

$\frac{5}{2} \cdot \frac{1}{2}$

Step 5

Multiply $\frac{5}{2}$ by $\frac{1}{2}$ .

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

Step 6

Multiply $2$ by $2$ .

$\frac{5}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{4}$

Decimal Form:

$1.25$

Mixed Number Form:

$1 \frac{1}{4}$

Divide 7 1/2÷6

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