## Algebra Rule 5

#### Fractions can be summed by multiplying across between numerators and denominators, and multiplying denominators for a common denominator

**Description:**

If top and bottom of a fraction are both multiplied by the same number, the fraction remains unchanged. So, we can sum two fractions by first multiplying each fraction's numerator and denominator with the other fraction's denominator. Then, since both the fractions now have the same denominator (the product of the two denominators), we can combine them into one fraction, with the sum in the numerator.