Understanding Fractions (For Kids)
A fraction shows how many parts we have of a whole thing. It has two numbers: Numerator (top) and Denominator (bottom).
Parts of a Fraction
3 4 is read “three-fourths”
- Numerator (3): how many parts are shaded/have we got.
- Denominator (4): total equal parts the whole is split into.
3 parts shaded out of 4 → 34
Proper & Improper
- Proper fraction: numerator < denominator (e.g., 25).
- Improper fraction: numerator ≥ denominator (e.g., 54).
- Mixed number: a whole number with a fraction (e.g., 1 14).
Convert 54 to a mixed number:
5 ÷ 4 = 1 remainder 1 → 1 14
5 ÷ 4 = 1 remainder 1 → 1 14
Equal Parts (Very Important!)
Fractions only work when the whole is split into equal parts.
1 out of 3 = 13
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2 out of 5 = 25
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Comparing Fractions (Same Denominator)
If the denominator is the same, the bigger numerator means the bigger fraction.
Which is bigger: 38 or 58?
Both have 8 parts in total. 5 parts is more than 3 parts, so
58 is bigger.
Equivalent Fractions
These are different-looking fractions that name the same amount.
1/2 = 2/4 (same shaded amount!)
Multiply or divide the numerator and denominator by the same number: e.g., 1×2 / 2×2 = 2/4.
Word Problems (Examples)
Example 1: A chocolate bar is cut into 6 equal pieces. Ali eats 2 pieces. What fraction did he eat?
2 out of 6 pieces → 26.
This can be simplified to 13 (divide top and bottom by 2).
Try It Yourself (Practice)
Tap “Show Solution” to reveal answers. Teachers can ask students to answer first!
- Shade the fraction: 14 of a bar.
Shade 1 of the 4 equal parts (any one part). That is 1/4.
- Which is larger: 27 or 57?
Same denominator (7). 5 is bigger than 2, so 5/7 is larger.
- Make an equivalent fraction for 13.
Multiply by 2: 2/6; or by 3: 3/9; both equal 1/3.
- Write as a mixed number: 74.
7 ÷ 4 = 1 remainder 3 → 1 34.
- Simplify the fraction: 48.
Divide top and bottom by 4 → 1/2.
Mathematics: Average Concept
Tip for teachers: Ask students to draw their own bars/circles and shade parts to show common fractions like 1/2, 1/3, 3/4.
Use real objects (pizza slices, chocolate pieces) to make it fun!