The circle is divided into 6 equal parts (denominator = 6).
4 parts are shaded (numerator = 4).
The fraction shaded is 4/6.
This can be simplified by dividing both numerator and denominator by 2: 4/6 = 2/3.
When denominators are the same, add the numerators.
2/7 + 3/7 = (2 + 3)/7 = 5/7
5/7 is already in simplest form.
When denominators are the same, subtract the numerators.
5/8 - 2/8 = (5 - 2)/8 = 3/8
3/8 is already in simplest form.
Both fractions have the same numerator (1).
When numerators are the same, the fraction with the smaller denominator is larger.
Since 3 is smaller than 5, 1/3 is larger than 1/5.
There are 12 students total.
5 students wear blue shirts.
So 12 - 5 = 7 students do not wear blue shirts.
The fraction not wearing blue shirts is 7/12.
We need to find an equivalent fraction for 3/4 with denominator 8.
Since 4 × 2 = 8, multiply both numerator and denominator by 2.
(3 × 2)/(4 × 2) = 6/8
So 3/4 = 6/8
The rectangle is divided into 10 equal parts.
7 parts are shaded.
So 10 - 7 = 3 parts are not shaded.
The fraction not shaded is 3/10.
When denominators are the same, add all numerators.
1/6 + 2/6 + 1/6 = (1 + 2 + 1)/6 = 4/6
This can be simplified: 4/6 = 2/3
Both fractions have the same denominator (5).
When denominators are the same, compare the numerators.
Since 3 is smaller than 4, 3/5 is smaller than 4/5.
The pizza has 8 slices total.
Tom eats 2 slices, Jane eats 1 slice, Bob eats 3 slices.
Total eaten: 2 + 1 + 3 = 6 slices.
Left: 8 - 6 = 2 slices.
Fraction left: 2/8 = 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