SME
Grade 3 Math · Problem type
Represent whole numbers as fractions
Use this for “How many fourths make a whole?” or 8/4 = 2.
Diagram
8/4: 8 jumps of 1/4 from 0.
That is exactly 2: 8/4 = 2.
This is an example. Type your own values to start a new problem.
Parts counted
Parts in one whole
=
Whole number
Formulas
8
4
=
2
Parts counted over parts in one whole = whole number
Assumptions
•
A fraction is a whole number when the parts counted fill whole numbers exactly.
•
Every whole has the same number of parts: 4/4 = 1, 8/4 = 2, 12/4 = 3.
Step-by-step
WE KNOW
Parts counted: 8
Parts in one whole: 4
FIND
whole number
Step 1 · Find whole number
8
4
=
?
Parts counted over parts in one whole = whole number
Divide the parts counted by the parts in one whole.
Whole number = 8 ÷ 4
Think: ? × 4 = 8
Count by 4s to 8: 4, 8 → 2
Whole number = 2
Check
Put the numbers back in. Both sides should match.
8
4
=
2
✓
Topic check
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Related lessons
Fractions as numbers
Main lesson
Fractions of a whole
Use this for “What fraction of the figure is shaded?”
Fractions of a set
Use this for “What fraction of the umbrellas are shaded?”
Understand the whole
Use this to find the whole from one part: “This bar is 1/3. Draw the whole.”
Equal parts of an area
Use this for “Is each part one fourth of the area?”