Basic Math Examples

$(4 k + 1) \div \frac{9 k + 9}{4}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$(4 k + 1) \frac{4}{9 k + 9}$

Step 2

Factor $9$ out of $9 k + 9$ .

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Step 2.1

Factor $9$ out of $9 k$ .

$(4 k + 1) \frac{4}{9 (k) + 9}$

Step 2.2

Factor $9$ out of $9$ .

$(4 k + 1) \frac{4}{9 (k) + 9 (1)}$

Step 2.3

Factor $9$ out of $9 (k) + 9 (1)$ .

$(4 k + 1) \frac{4}{9 (k + 1)}$

Step 3

Multiply $4 k + 1$ by $\frac{4}{9 (k + 1)}$ .

$\frac{(4 k + 1) \cdot 4}{9 (k + 1)}$

Step 4

Move $4$ to the left of $4 k + 1$ .

$\frac{4 (4 k + 1)}{9 (k + 1)}$