How to Add and Subtract Fractions With Unlike Denominators

Adding and subtracting fractions with unlike denominators can be a little tricky, but it's not too difficult once you understand the process. Here's a step-by-step guide on how to do it:

1. Find the least common multiple (LCM) of the denominators.

The least common multiple (LCM) of the denominators is the smallest number that both denominators can be divided into evenly. For example, if you have the fractions 1/4 and 1/6, the LCM of 4 and 6 is 12.

2. Convert the fractions so they have the same denominator.

To do this, you'll need to multiply each fraction by a factor that will make its denominator equal to the LCM. For example, if you have the fractions 1/4 and 1/6, you'll need to multiply 1/4 by 3/3 (which is equivalent to 1), and 1/6 by 2/2 (which is also equivalent to 1). This will give you 3/12 and 2/12, respectively.

3. Add or subtract the numerators, keeping the denominator the same.

Now that the fractions have the same denominator, you can add or subtract the numerators as usual. For example, if you're adding 3/12 and 2/12, you would add the numerators and keep the denominator the same, giving you 5/12.

4. Simplify the fraction, if possible.

If the resulting fraction can be simplified, do so by dividing both the numerator and denominator by their greatest common factor (GCF). In the example above, 5/12 is already in its simplest form, so we're done.

So that's it! Here's the summary of the steps to add and subtract fractions with unlike denominators:

1. Find the least common multiple (LCM) of the denominators. 2. Convert the fractions so they have the same denominator. 3. Add or subtract the numerators, keeping the denominator the same. 4. Simplify the fraction, if possible.