🔵Adding & Subtracting Like Fractions
When fractions have the same denominator (the bottom number), just add or subtract the numerators (the top numbers) and keep the denominator the same.
Example: 1/4 + 2/4 = (1 + 2)/4 = 3/4. And 3/5 − 1/5 = 2/5.
👀 See a worked example
Add 2/6 + 3/6.
Same denominator: (2 + 3)/6 = 5/6.
Subtract 4/7 − 1/7.
(4 − 1)/7 = 3/7.
🤖 Vidi's Key Points
- With the same denominator, add/subtract only the numerators.
- Keep the denominator the same.
- 1/4 + 2/4 = 3/4; 3/5 − 1/5 = 2/5.
🟢Comparing Fractions & Mixed Numbers
If two fractions have the same denominator, the one with the bigger numerator is bigger (3/4 > 1/4).
A mixed number is a whole number plus a fraction, like 1½. An improper fraction (top bigger than bottom) such as 5/4 can be written as the mixed number 1¼ (because 4/4 = 1, leaving 1/4).
👀 See a worked example
Which is bigger: 3/8 or 5/8?
Same denominator → bigger numerator wins: 5/8.
Write 7/3 as a mixed number.
3/3 + 3/3 = 2 wholes, leaving 1/3 → 2⅓.
🤖 Vidi's Key Points
- Same denominator → bigger numerator means bigger fraction.
- A mixed number = whole number + fraction (e.g. 1¼).
- An improper fraction (top ≥ bottom) can be written as a mixed number.
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