Understanding Fraction Addition with Models
When fractions have different denominators (the bottom numbers), they're
like pieces from different puzzles!
To add them, we need to find a common denominator so all pieces become the same size. Visual models help
us see how fractions combine to make a whole or part of a whole.
How to Add Fractions with Unlike Denominators
1️⃣ Draw models for each fraction (like rectangles divided into parts)
2️⃣ Find a common denominator by making equal-sized pieces
3️⃣ Add the pieces now that they're the same size
Let's Practice with Examples!
Example 1: \(\frac{1}{2} + \frac{1}{4} \)
\(\frac{1}{2}\)
\(\frac{1}{4}\)
We can make both fractions have 4 parts (denominator 4):
2/4 (same as 1/2)
1/4
Now we can add them: 2/4 + 1/4 = 3/4
Example 2: \(\frac{2}{3} + \frac{1}{6} \)
\(\frac{2}{3}\)
\(\frac{1}{6}\)
Let's use 6 as our common denominator:
\(\frac{4}{6}\) (same as \(\frac{2}{3}\))
\(\frac{1}{6}\)
Now we can add them: \(\frac{4}{6} + \frac{1}{6} = \frac{5}{6}\)
Parent Tips 🌟
- Use real-world objects like pizza slices or chocolate bars to demonstrate how fractions with different denominators need to be "resized" before adding.
- Make it a game - create fraction cards and have your child match pairs that can be added by finding common denominators.
- Start simple with denominators that are easy multiples (like 2 and 4) before moving to more challenging pairs (like 3 and 5).