Hi! I'm Vidi. Let's learn Fractions on a Number Line together — read with me, then play the games to win a ⭐!
🔵Represent Fractions on a Number Line
A number line shows fractions between whole numbers. To plot a fraction:
- Divide the distance from 0 to 1 into equal parts (number = denominator)
- Count that many parts from 0 (number = numerator)
Example: 3/4 → divide into 4 equal parts, count 3 from 0.
👀 See a worked example
Show 3/4 on a number line.
Divide 0-to-1 into 4 equal parts. Count 3 steps from 0. Mark the point at 3/4.
Where is 1/3 between 0 and 1?
Divide into 3 equal parts. 1/3 is the first mark after 0 — one-third of the way to 1.
Plot 1/2 and 3/4. Which is larger?
3/4 is farther from 0 than 1/2. So 3/4 > 1/2.
🤖 Vidi's Key Points
- Denominator = total equal parts between 0 and 1.
- Numerator = how many steps to count from 0.
- Farther from 0 on number line = larger fraction.
🟢Compare Fractions
Same denominator: bigger numerator = bigger fraction (5/8 > 3/8)
Same numerator: smaller denominator = bigger fraction (1/3 > 1/4, because thirds are bigger than fourths)
👀 See a worked example
Which is larger: 5/8 or 3/8?
Same denominator. Compare numerators: 5 > 3. So 5/8 > 3/8.
Which is larger: 1/3 or 1/4?
Same numerator (1). Smaller denominator = bigger fraction. 3 < 4, so 1/3 > 1/4.
Order from smallest to largest: 3/5, 1/5, 4/5.
Same denominator. Compare numerators: 1 < 3 < 4. Order: 1/5 < 3/5 < 4/5.
🤖 Vidi's Key Points
- Same bottom number: bigger top = bigger fraction.
- Same top number: bigger bottom = smaller fraction.
- On number line: fractions closer to 1 are larger.
🟣Equivalent Fractions
Equivalent fractions look different but have the same value.
1/2 = 2/4 = 3/6 = 4/8
To find equivalent fractions: multiply both top and bottom by the same number.
Example: 2/3 x (4/4) = 8/12. So 2/3 = 8/12.
👀 See a worked example
Find a fraction equivalent to 2/3 with denominator 6.
Multiply top and bottom by 2: (2x2)/(3x2) = 4/6. So 2/3 = 4/6.
Is 3/4 equal to 6/8?
3/4 x (2/2) = 6/8. Yes, they are equivalent fractions.
Find equivalent to 1/2 with denominator 8.
1/2 x (4/4) = 4/8. So 1/2 = 4/8.
🤖 Vidi's Key Points
- Equivalent fractions = same amount, different notation.
- Multiply both numerator and denominator by the same number.
- 1/2 = 2/4 = 3/6 = 4/8 — all equal.
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