Basic Math Examples

$7 + \frac{21}{n} \div 3 - \frac{27}{n^{2}}$

Step 1

Factor $\frac{1}{3}$ out of each term.

$\frac{1}{3} (21 + \frac{21}{n} - \frac{81}{n^{2}})$

Step 2

Factor $3$ out of $21 + \frac{21}{n} - \frac{81}{n^{2}}$ .

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Step 2.1

Factor $3$ out of $21$ .

$\frac{1}{3} \cdot (3 (7) + \frac{21}{n} - \frac{81}{n^{2}})$

Step 2.2

Factor $3$ out of $\frac{21}{n}$ .

$\frac{1}{3} \cdot (3 \cdot 7 + 3 \frac{7}{n} - \frac{81}{n^{2}})$

Step 2.3

Factor $3$ out of $- \frac{81}{n^{2}}$ .

$\frac{1}{3} \cdot (3 \cdot 7 + 3 \frac{7}{n} + 3 (- \frac{27}{n^{2}}))$

Step 2.4

Factor $3$ out of $3 \cdot 7 + 3 \frac{7}{n}$ .

$\frac{1}{3} \cdot (3 \cdot (7 + \frac{7}{n}) + 3 (- \frac{27}{n^{2}}))$

Step 2.5

Factor $3$ out of $3 \cdot (7 + \frac{7}{n}) + 3 (- \frac{27}{n^{2}})$ .

$\frac{1}{3} \cdot (3 (7 + \frac{7}{n} - \frac{27}{n^{2}}))$

Step 3

Factor.

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Step 3.1

Reorder terms.

$\frac{1}{3} \cdot (3 (\frac{7}{n} - \frac{27}{n^{2}} + 7))$

Step 3.2

Remove unnecessary parentheses.

$\frac{1}{3} \cdot 3 (\frac{7}{n} - \frac{27}{n^{2}} + 7)$

Step 4

Combine $\frac{1}{3}$ and $3$ .

$\frac{3}{3} (\frac{7}{n} - \frac{27}{n^{2}} + 7)$

Step 5

Divide $3$ by $3$ .

$1 \cdot (\frac{7}{n} - \frac{27}{n^{2}} + 7)$

Step 6

Multiply $\frac{7}{n} - \frac{27}{n^{2}} + 7$ by $1$ .

$\frac{7}{n} - \frac{27}{n^{2}} + 7$