Pre-Algebra Examples

$\frac{6}{a b} + \frac{7}{b}$

Step 1

To write $\frac{7}{b}$ as a fraction with a common denominator, multiply by $\frac{a}{a}$ .

$\frac{6}{a b} + \frac{7}{b} \cdot \frac{a}{a}$

Step 2

Write each expression with a common denominator of $a b$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{7}{b}$ by $\frac{a}{a}$ .

$\frac{6}{a b} + \frac{7 a}{b a}$

Step 2.2

Reorder the factors of $b a$ .

$\frac{6}{a b} + \frac{7 a}{a b}$

Step 3

Combine the numerators over the common denominator.

$\frac{6 + 7 a}{a b}$