The pizza is cut into 6 equal slices (denominator = 6).
2 slices were eaten (numerator = 2).
The fraction eaten is 2/6.
This can be simplified by dividing both numerator and denominator by 2: 2/6 = 1/3.
Both fractions have the same numerator (1).
When numerators are the same, the fraction with the smaller denominator is larger.
Since 4 is smaller than 8, 1/4 is larger than 1/8.
When denominators are the same, add the numerators.
1/5 + 2/5 = (1 + 2)/5 = 3/5
3/5 is already in simplest form.
When denominators are the same, subtract the numerators.
4/7 - 1/7 = (4 - 1)/7 = 3/7
3/7 is already in simplest form.
To show they are equivalent, simplify 2/4.
Divide both numerator and denominator by their greatest common factor, which is 2.
2 ÷ 2 = 1, 4 ÷ 2 = 2
So 2/4 = 1/2
Therefore, 2/4 and 1/2 are equivalent.
There are 10 cookies total.
3 cookies were eaten.
So 10 - 3 = 7 cookies are left.
The fraction left is 7/10.
The rectangle is divided into 8 equal parts.
5 parts are shaded.
So 8 - 5 = 3 parts are not shaded.
The fraction not shaded is 3/8.
Both fractions have the same denominator (3).
When denominators are the same, compare the numerators.
Since 1 is smaller than 2, 1/3 is smaller than 2/3.
When denominators are the same, add all numerators.
3/8 + 2/8 + 1/8 = (3 + 2 + 1)/8 = 6/8
This can be simplified: 6/8 = 3/4
The pizza has 12 slices total.
Tom eats 3 slices, Jane eats 2 slices, Bob eats 4 slices.
Total eaten: 3 + 2 + 4 = 9 slices.
Left: 12 - 9 = 3 slices.
Fraction left: 3/12 = 1/4.
Fraction: A number representing a part of a whole, written as numerator/denominator
Numerator: The top number showing how many parts are taken
Denominator: The bottom number showing how many equal parts the whole is divided into
Like Fractions: Fractions with the same denominator
Unlike Fractions: Fractions with different denominators
Equivalent Fractions: Different fractions that represent the same amount
Simplest Form: A fraction where the numerator and denominator have no common factors other than 1
- Identifying Fractions: Count the shaded or taken parts (numerator) over the total equal parts (denominator)
- Adding Like Fractions: Add numerators, keep denominator the same
- Subtracting Like Fractions: Subtract numerators, keep denominator the same
- Comparing Fractions with Same Numerator: Smaller denominator = larger fraction
- Comparing Fractions with Same Denominator: Larger numerator = larger fraction
- Simplifying Fractions: Divide both numerator and denominator by their greatest common factor
• Fraction = Part / Whole
• When denominators are the same: a/b + c/b = (a + c)/b
• When denominators are the same: a/b - c/b = (a - c)/b
• When numerators are the same, smaller denominator = larger fraction
• When denominators are the same, larger numerator = larger fraction
• To simplify: divide both numerator and denominator by their greatest common factor
- Identifying: 3 of 5 parts shaded = 3/5
- Adding: 1/4 + 2/4 = 3/4
- Subtracting: 5/6 - 2/6 = 3/6 = 1/2
- Comparing: 1/3 > 1/5 (same numerator, smaller denominator wins)
- Comparing: 2/7 < 5/7 (same denominator, larger numerator wins)
- Simplifying: 4/8 = 1/2
- Adding or subtracting denominators along with numerators
- Forgetting to simplify fractions to lowest terms
- Not recognizing equivalent fractions
- Confusing the numerator with the denominator
- Not ensuring parts are equal when identifying fractions
- Making calculation errors with the numerators
Key Takeaways
- Fractions represent parts of a whole object or group
- Numerator is the top number, denominator is the bottom number
- When denominators are the same, add or subtract numerators only
- When numerators are the same, smaller denominator means larger fraction
- Always simplify fractions to lowest terms when possible
- Visual models help understand fraction concepts
- Check your work by ensuring the answer makes sense