Pre-Algebra Examples

$\frac{7 m}{6 n} + \frac{5 m}{6 n}$

Step 1

Combine the numerators over the common denominator.

$\frac{7 m + 5 m}{6 n}$

Step 2

Rewrite $\frac{7 m + 5 m}{6 n}$ in a factored form.

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Step 2.1

Add $7 m$ and $5 m$ .

$\frac{12 m}{6 n}$

Step 2.2

Reduce the expression $\frac{12 m}{6 n}$ by cancelling the common factors.

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Step 2.2.1

Factor $6$ out of $12 m$ .

$\frac{6 (2 m)}{6 n}$

Step 2.2.2

Factor $6$ out of $6 n$ .

$\frac{6 (2 m)}{6 (n)}$

Step 2.2.3

Cancel the common factor.

$\frac{6 (2 m)}{6 n}$

Step 2.2.4

Rewrite the expression.

$\frac{2 m}{n}$