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Door 8 · Grade 3

📐 Fractions on a Number Line

Denominator = total equal parts between 0 and 1

▶ Play Door 8

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.

Worked example

Problem: Show 3/4 on a number line.

  1. Divide 0-to-1 into 4 equal parts.
  2. Count 3 steps from 0.
  3. Mark the point at 3/4.

Answer: Mark the point at 3/4.

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)

Worked example

Problem: Which is larger: 5/8 or 3/8?

  1. Same denominator.
  2. Compare numerators: 5 > 3.
  3. So 5/8 > 3/8.

Answer: So 5/8 > 3/8.

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.

Worked example

Problem: Find a fraction equivalent to 2/3 with denominator 6.

  1. Multiply top and bottom by 2: (2x2)/(3x2) = 4/6.
  2. So 2/3 = 4/6.

Answer: So 2/3 = 4/6.