Adding fractions is easy once you know the steps! Here's a simple guide to help you add fractions:
How to Add Fractions
Step 1: Check the Denominators
- If the fractions have the same denominator (the bottom number), you can add them directly.
- If the denominators are different , you need to find a common denominator first.
Step 2: Find a Common Denominator (if needed)
- Find the least common denominator (LCD) , which is the least common multiple (LCM) of the denominators.
- Convert each fraction to an equivalent fraction with the LCD as the denominator.
Step 3: Add the Numerators
- Once the denominators are the same, add the numerators (the top numbers).
- Keep the denominator the same.
Step 4: Simplify the Fraction
- If possible, simplify the resulting fraction by dividing numerator and denominator by their greatest common divisor (GCD).
Example 1: Adding Fractions with the Same Denominator
38+28=3+28=58\frac{3}{8}+\frac{2}{8}=\frac{3+2}{8}=\frac{5}{8}83+82=83+2=85
Example 2: Adding Fractions with Different Denominators
Add 14+16\frac{1}{4}+\frac{1}{6}41+61:
- Find the LCD of 4 and 6, which is 12.
- Convert fractions:
14=312,16=212\frac{1}{4}=\frac{3}{12},\quad \frac{1}{6}=\frac{2}{12}41=123,61=122
- Add numerators:
312+212=512\frac{3}{12}+\frac{2}{12}=\frac{5}{12}123+122=125
- The fraction 512\frac{5}{12}125 is already in simplest form.
If you want, I can help you practice with some examples! Just ask. 😊
