Basic Math Examples

$(8 k + 8) \div \frac{7 k + 7}{4}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$(8 k + 8) \frac{4}{7 k + 7}$

Step 2

Simplify terms.

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Step 2.1

Factor $7$ out of $7 k + 7$ .

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Step 2.1.1

Factor $7$ out of $7 k$ .

$(8 k + 8) \frac{4}{7 (k) + 7}$

Step 2.1.2

Factor $7$ out of $7$ .

$(8 k + 8) \frac{4}{7 (k) + 7 (1)}$

Step 2.1.3

Factor $7$ out of $7 (k) + 7 (1)$ .

$(8 k + 8) \frac{4}{7 (k + 1)}$

$(8 k + 8) \frac{4}{7 (k + 1)}$

Step 2.2

Multiply $8 k + 8$ by $\frac{4}{7 (k + 1)}$ .

$\frac{(8 k + 8) \cdot 4}{7 (k + 1)}$

$\frac{(8 k + 8) \cdot 4}{7 (k + 1)}$

Step 3

Simplify the numerator.

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Step 3.1

Factor $8$ out of $8 k + 8$ .

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Step 3.1.1

Factor $8$ out of $8 k$ .

$\frac{(8 (k) + 8) \cdot 4}{7 (k + 1)}$

Step 3.1.2

Factor $8$ out of $8$ .

$\frac{(8 (k) + 8 (1)) \cdot 4}{7 (k + 1)}$

Step 3.1.3

Factor $8$ out of $8 (k) + 8 (1)$ .

$\frac{8 (k + 1) \cdot 4}{7 (k + 1)}$

$\frac{8 (k + 1) \cdot 4}{7 (k + 1)}$

Step 3.2

Multiply $4$ by $8$ .

$\frac{32 (k + 1)}{7 (k + 1)}$

$\frac{32 (k + 1)}{7 (k + 1)}$

Step 4

Cancel the common factor of $k + 1$ .

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Step 4.1

Cancel the common factor.

$\frac{32 (k + 1)}{7 (k + 1)}$

Step 4.2

Rewrite the expression.

$\frac{32}{7}$

$\frac{32}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{32}{7}$

Decimal Form:

$4.\overline{571428}$

Mixed Number Form:

$4 \frac{4}{7}$

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