Hi! Let’s learn about fractions.
A fraction shows parts of a whole. Think of a pizza or a chocolate bar that is cut into equal pieces. A fraction tells you how many pieces we have and how many pieces the whole was cut into.
1) The two parts of a fraction
Look at this fraction: 3/4
- Top number (3) is the numerator — it tells how many parts you have.
- Bottom number (4) is the denominator — it tells how many equal parts the whole was cut into.
So 3/4 means 3 out of 4 equal parts (like 3 slices of a pizza that had 4 slices).
2) Easy examples
- 1/2 (one-half) = half of something (like half a sandwich).
- 1/4 (one-quarter) = one piece when something is cut into 4 equal pieces.
- 3/4 = three of those four pieces.
3) Equivalent fractions (same amount, different numbers)
1/2 is the same as 2/4 and 4/8. You get these by multiplying top and bottom by the same number:
1/2 = (1×2)/(2×2) = 2/4
4) Simplifying (making a fraction smaller)
If both top and bottom can be divided by the same number, you can divide them to make the fraction simpler.
Example: 2/4 = divide top and bottom by 2 → 1/2
5) Adding fractions (when they have the same bottom number)
Only add the top numbers and keep the same bottom number.
Example: 1/4 + 2/4 = (1+2)/4 = 3/4
6) Which fraction is bigger?
- When denominators are the same, the fraction with the bigger numerator is larger. Example: 3/8 is bigger than 1/8.
- When numerators are the same, the fraction with the smaller denominator is larger because the pieces are bigger. Example: 1/3 is bigger than 1/4.
Practice time!
- A pizza has 4 slices. You eat 2 slices. What fraction did you eat? What fraction is left?
- Which is bigger: 1/3 or 1/4?
- What is 1/4 + 1/4?
- Simplify 3/6 to the simplest fraction.
- Write two fractions that are equal to 1/3.
- A cookie is cut into 8 equal pieces and you eat 3. What fraction of the cookie did you eat?
Answers
- You ate 2/4 (which is the same as 1/2). Left: 2/4 or 1/2.
- 1/3 is bigger than 1/4.
- 1/4 + 1/4 = 2/4, which can be simplified to 1/2.
- 3/6 = 1/2 (divide top and bottom by 3).
- Examples: 2/6 and 3/9 are equal to 1/3.
- You ate 3/8 of the cookie.
Tips to remember:
- Numerator = how many parts you have. Denominator = how many equal parts make the whole.
- To make equivalent fractions, multiply top and bottom by the same number.
- To simplify, divide top and bottom by the same number.
- Practice with real things: cut fruit, pizza, or a chocolate bar into equal parts and name the fractions.
Want more practice problems or pictures to draw with your fractions? I can give you worksheets or step-by-step drawing help!