Basic Math Examples

$\frac{\frac{7 n + 49}{7 n + 42}}{\frac{1}{n + 6}}$

Step 1

Cancel the common factor of $7 n + 49$ and $7 n + 42$ .

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Step 1.1

Factor $7$ out of $7 n$ .

$\frac{\frac{7 (n) + 49}{7 n + 42}}{\frac{1}{n + 6}}$

Step 1.2

Factor $7$ out of $49$ .

$\frac{\frac{7 (n) + 7 \cdot 7}{7 n + 42}}{\frac{1}{n + 6}}$

Step 1.3

Factor $7$ out of $7 (n) + 7 (7)$ .

$\frac{\frac{7 (n + 7)}{7 n + 42}}{\frac{1}{n + 6}}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $7$ out of $7 n$ .

$\frac{\frac{7 (n + 7)}{7 (n) + 42}}{\frac{1}{n + 6}}$

Step 1.4.2

Factor $7$ out of $42$ .

$\frac{\frac{7 (n + 7)}{7 n + 7 \cdot 6}}{\frac{1}{n + 6}}$

Step 1.4.3

Factor $7$ out of $7 n + 7 \cdot 6$ .

$\frac{\frac{7 (n + 7)}{7 (n + 6)}}{\frac{1}{n + 6}}$

Step 1.4.4

Cancel the common factor.

$\frac{\frac{7 (n + 7)}{7 (n + 6)}}{\frac{1}{n + 6}}$

Step 1.4.5

Rewrite the expression.

$\frac{\frac{n + 7}{n + 6}}{\frac{1}{n + 6}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{n + 7}{n + 6} (n + 6)$

Step 3

Cancel the common factor of $n + 6$ .

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Step 3.1

Cancel the common factor.

$\frac{n + 7}{n + 6} (n + 6)$

Step 3.2

Rewrite the expression.

$n + 7$