Pre-Algebra Examples

$\frac{13}{15} \div \frac{7}{10}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{13}{15} \cdot \frac{10}{7}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $15$ .

$\frac{13}{5 (3)} \cdot \frac{10}{7}$

Step 2.2

Factor $5$ out of $10$ .

$\frac{13}{5 \cdot 3} \cdot \frac{5 \cdot 2}{7}$

Step 2.3

Cancel the common factor.

$\frac{13}{5 \cdot 3} \cdot \frac{5 \cdot 2}{7}$

Step 2.4

Rewrite the expression.

$\frac{13}{3} \cdot \frac{2}{7}$

$\frac{13}{3} \cdot \frac{2}{7}$

Step 3

Multiply $\frac{13}{3}$ by $\frac{2}{7}$ .

$\frac{13 \cdot 2}{3 \cdot 7}$

Step 4

Multiply.

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Step 4.1

Multiply $13$ by $2$ .

$\frac{26}{3 \cdot 7}$

Step 4.2

Multiply $3$ by $7$ .

$\frac{26}{21}$

$\frac{26}{21}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{26}{21}$

Decimal Form:

$1.\overline{238095}$

Mixed Number Form:

$1 \frac{5}{21}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$