Divide 7 1/2÷3 1/8

$7 \frac{1}{2} \div 3 \frac{1}{8}$

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

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

$(7 + \frac{1}{2}) \div 3 \frac{1}{8}$

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

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

$(7 \cdot \frac{2}{2} + \frac{1}{2}) \div 3 \frac{1}{8}$

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

$(\frac{7 \cdot 2}{2} + \frac{1}{2}) \div 3 \frac{1}{8}$

Combine the numerators over the common denominator.

$\frac{7 \cdot 2 + 1}{2} \div 3 \frac{1}{8}$

Simplify the numerator.

Multiply $7$ by $2$ .

$\frac{14 + 1}{2} \div 3 \frac{1}{8}$

Add $14$ and $1$ .

$\frac{15}{2} \div 3 \frac{1}{8}$

Convert $3 \frac{1}{8}$ to an improper fraction.

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

$\frac{15}{2} \div (3 + \frac{1}{8})$

Add $3$ and $\frac{1}{8}$ .

To write $3$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{15}{2} \div (3 \cdot \frac{8}{8} + \frac{1}{8})$

Combine $3$ and $\frac{8}{8}$ .

$\frac{15}{2} \div (\frac{3 \cdot 8}{8} + \frac{1}{8})$

Combine the numerators over the common denominator.

$\frac{15}{2} \div \frac{3 \cdot 8 + 1}{8}$

Simplify the numerator.

Multiply $3$ by $8$ .

$\frac{15}{2} \div \frac{24 + 1}{8}$

Add $24$ and $1$ .

$\frac{15}{2} \div \frac{25}{8}$

To divide by a fraction, multiply by its reciprocal.

$\frac{15}{2} \cdot \frac{8}{25}$

Cancel the common factor of $5$ .

Factor $5$ out of $15$ .

$\frac{5 (3)}{2} \cdot \frac{8}{25}$

Factor $5$ out of $25$ .

$\frac{5 \cdot 3}{2} \cdot \frac{8}{5 \cdot 5}$

Cancel the common factor.

$\frac{5 \cdot 3}{2} \cdot \frac{8}{5 \cdot 5}$

Rewrite the expression.

$\frac{3}{2} \cdot \frac{8}{5}$

Cancel the common factor of $2$ .

Factor $2$ out of $8$ .

$\frac{3}{2} \cdot \frac{2 (4)}{5}$

Cancel the common factor.

$\frac{3}{2} \cdot \frac{2 \cdot 4}{5}$

Rewrite the expression.

$3 (\frac{4}{5})$

Combine $3$ and $\frac{4}{5}$ .

$\frac{3 \cdot 4}{5}$

Multiply $3$ by $4$ .

$\frac{12}{5}$

The result can be shown in multiple forms.

Exact Form:

$\frac{12}{5}$

Decimal Form:

$2.4$

Mixed Number Form:

$2 \frac{2}{5}$

Divide 7 1/2÷3 1/8

Related Questions

Support LCMGCF.com by disabling your adblocker.