Pre-Algebra Examples

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

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

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Step 2.1

Factor $7$ out of $7 k$ .

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

Step 2.2

Factor $7$ out of $7$ .

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

Step 2.3

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

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

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

Step 3

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

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

Step 4

Simplify the numerator.

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Step 4.1

Factor $4$ out of $4 k + 4$ .

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Step 4.1.1

Factor $4$ out of $4 k$ .

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

Step 4.1.2

Factor $4$ out of $4$ .

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

Step 4.1.3

Factor $4$ out of $4 (k) + 4 (1)$ .

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

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

Step 4.2

Multiply $4$ by $4$ .

$\frac{16 (k + 1)}{7 (k + 1)}$

$\frac{16 (k + 1)}{7 (k + 1)}$

Step 5

Cancel the common factor of $k + 1$ .

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Step 5.1

Cancel the common factor.

$\frac{16 (k + 1)}{7 (k + 1)}$

Step 5.2

Rewrite the expression.

$\frac{16}{7}$

$\frac{16}{7}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{16}{7}$

Decimal Form:

$2.\overline{285714}$

Mixed Number Form:

$2 \frac{2}{7}$

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