SME
Grade 3 Math · Fractions
Compare fractions and find equivalent fractions
Use this for “Find a fraction equal to 1/2 with 4 parts in the whole.”
Diagram
1/2 = 2/4: the shaded parts are the same size.
This is an example. Type your own values to start a new problem.
Shaded parts
Parts in the whole
=
New shaded parts
New parts in the whole
Pieces in each part
example
Formulas
1 × 2 = 2
Shaded parts × pieces in each part = new shaded parts
2 × 2 = 4
Parts in the whole × pieces in each part = new parts in the whole
Assumptions
•
Equivalent fractions name the same part of a whole and the same point on the number line.
•
Cutting each part into pieces changes the count, not the amount shaded.
•
Both bars are the same whole.
Step-by-step
WE KNOW
Pieces in each part: 2
Shaded parts: 1
Parts in the whole: 2
FIND
new shaded parts, new parts in the whole
Step 1 · Find new shaded parts
1 × 2 = ?
Shaded parts × pieces in each part = new shaded parts
Multiply the shaded parts by the pieces in each part.
1 × a number is that number: 2
New shaded parts = 2
Step 2 · Find new parts in the whole
2 × 2 = ?
Parts in the whole × pieces in each part = new parts in the whole
Multiply the parts in the whole by the pieces in each part.
Count by 2s, 2 times: 2, 4 → 4
New parts in the whole = 4
Check
Put the numbers back in. Both sides should match.
1 × 2 = 2 ✓
2 × 2 = 4 ✓
Topic check
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