SME
Grade 3 Math · Problem type
Fractions of a whole
Use this for “What fraction of the figure is shaded?”
Diagram
Circle
Rectangle
4 equal parts: 3/4 shaded, 1/4 not shaded.
Tap a part to shade it.
Not shaded: 1
This is an example. Type your own values to start a new problem.
Equal parts
example
Shaded
example
Not shaded
calculated
Formulas
3 shaded + 1 not shaded = 4 equal parts
Shaded parts + not shaded parts = equal parts
Assumptions
•
The parts must be equal, or it is not a fraction.
•
The bottom number is how many equal parts; the top is how many are shaded.
•
1/4 is one of 4 equal parts. 3/4 is three of them.
•
Each of 4 equal parts is 1/4 of the whole shape’s area.
Step-by-step
WE KNOW
Equal parts: 4
Shaded: 3
FIND
not shaded
Step 1 · Find not shaded
3 shaded + ? not shaded = 4 equal parts
Shaded parts + not shaded parts = equal parts
Take the shaded parts away from the equal parts.
Not shaded = 4 − 3
3
of
the
4
equal
parts
are
shaded:
3
4
of
the
shape
Not shaded = 1
Check
Put the numbers back in. Both sides should match.
3 shaded + 1 not shaded = 4 equal parts ✓
Topic check
See what you know: 5 questions on this topic
New questions each time. Pass to mark it complete.
Refresh
Related lessons
Fractions as numbers
Main lesson
Fractions of a set
Use this for “What fraction of the umbrellas are shaded?”
Represent whole numbers as fractions
Use this for “How many fourths make a whole?” or 8/4 = 2.
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?”