Basic Math Examples

$\frac{7}{10} \div \frac{5}{16}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{7}{10} \cdot \frac{16}{5}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $10$ .

$\frac{7}{2 (5)} \cdot \frac{16}{5}$

Step 2.2

Factor $2$ out of $16$ .

$\frac{7}{2 \cdot 5} \cdot \frac{2 \cdot 8}{5}$

Step 2.3

Cancel the common factor.

$\frac{7}{2 \cdot 5} \cdot \frac{2 \cdot 8}{5}$

Step 2.4

Rewrite the expression.

$\frac{7}{5} \cdot \frac{8}{5}$

$\frac{7}{5} \cdot \frac{8}{5}$

Step 3

Multiply $\frac{7}{5}$ by $\frac{8}{5}$ .

$\frac{7 \cdot 8}{5 \cdot 5}$

Step 4

Multiply.

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Step 4.1

Multiply $7$ by $8$ .

$\frac{56}{5 \cdot 5}$

Step 4.2

Multiply $5$ by $5$ .

$\frac{56}{25}$

$\frac{56}{25}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{56}{25}$

Decimal Form:

$2.24$

Mixed Number Form:

$2 \frac{6}{25}$

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