Adding and Subtracting Dissimilar Fractions by MathoGuide

Adding and Subtracting Dissimilar Fractions by MathoGuide
To add or subtract dissimilar (unlike) fractions, you need to find a common denominator. Here are the steps:

1. **Find the Least Common Denominator (LCD):** This is the smallest number that both denominators can divide into evenly.

2. **Convert to Equivalent Fractions:** Change each fraction to an equivalent fraction with the LCD as the new denominator.

3. **Add or Subtract the Numerators:** Keep the common denominator and perform the addition or subtraction on the numerators.

4. **Simplify if Necessary:** Reduce the fraction to its simplest form.

### Example: Adding Fractions

Add (2/3) and (1/4):

1. **Find the LCD:**
- Denominators are 3 and 4.
- The LCD of 3 and 4 is 12.

2. **Convert to Equivalent Fractions:**
2/3 becomes (2 times 4)/(3 times 4)
= 8/12.

1/4 becomes (1 times 3)/(4 times 3)
= 3/12.

3. **Add the Numerators:**
8/12 + 3/12
= (8 + 3)/12
= 11/12


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