To add fractions with unlike denominators, you must first find a common denominator by multiplying each fraction's denominator by the other fraction's denominator. Then add the numerators and place the sum over the common denominator. When multiplying fractions, the new numerator is the product of the original numerators and the new denominator is the product of the original denominators, which can then be simplified if possible. The reciprocal of a fraction is formed by switching the original numerator and denominator.

1. Chapter 2 Quiz

2. Adding Fractions with Unlike
Denominators
To add fractions with unlike denominators,
you must first change the fractions so that
they have a common denominator.
To find a common denominator, you multiply
each fraction by the denominator of the other.
Then you find the sum by adding the
numerators of the fractions.
Simplify if possible by dividing by a common
factor.

3. Multiply Fractions
First, find the product of the numerator.
The product of the numerator becomes the
new numerator.
Then find the product of the
denominators. This becomes the new
denominator.
Simplify if necessary, by dividing by a
common factor.

4. Find Reciprocal
Switch the denominator and numerator
around so that the denominator of the
original fraction becomes the numerator
of the new fraction, and the numerator
of the original fraction becomes the
denominator of the new fraction.