How to Add Fractions With Unlike Denominators

When adding fractions with unlike denominators, you first need to find a common denominator. A common denominator is a multiple of both denominators that you are working with.

Here are the steps to add fractions with unlike denominators:

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

Step 2: Convert the fractions to equivalent fractions with the common denominator.

Step 3: Add the numerators of the equivalent fractions.

Step 4: Simplify the resulting fraction if possible.

Let's take an example to illustrate this process:

Add 1/3 and 1/4.

Step 1: Find the LCM of 3 and 4. The multiples of 3 are 3, 6, 9, 12, 15, 18... The multiples of 4 are 4, 8, 12, 16, 20, 24... The LCM of 3 and 4 is 12.

Step 2: Convert the fractions to equivalent fractions with the common denominator 12. To convert 1/3 to a fraction with a denominator of 12, we multiply both the numerator and denominator by 4. To convert 1/4 to a fraction with a denominator of 12, we multiply both the numerator and denominator by 3. Thus, 1/3 = 4/12 and 1/4 = 3/12.

Step 3: Add the numerators of the equivalent fractions. 4/12 + 3/12 = 7/12.

Step 4: Simplify the resulting fraction if possible. In this case, 7/12 is already in its simplest form, so we're done.

Therefore, 1/3 + 1/4 = 7/12.

That's it! Just remember to always find the common denominator before adding fractions with unlike denominators.