SME
Grade 4 Math · Problem type
Fractions and mixed numbers
Use this for “Write 2 3/4 as a fraction,” or 11/4 as a mixed number.
Diagram
11/4: 11 jumps of 1/4 from 0.
That is 2 wholes and 3/4 more.
This is an example. Type your own values to start a new problem.
Extra numerator
Denominator
=
Numerator in all
Denominator
Formulas
2
wholes
and
3
4
=
11
4
Wholes × denominator + extra numerator = numerator in all
full
wholes
in
11
4
:
2
Full wholes in the fraction = wholes
Assumptions
•
A mixed number is wholes and a fraction: 2 and 3/4.
•
Each whole is all the parts: 2 wholes in quarters is 2 × 4 = 8 quarters. Add the extra parts.
•
Wholes to 10; the fraction part is less than 1.
Step-by-step
WE KNOW
Wholes: 2
Denominator: 4
Extra numerator: 3
FIND
numerator in all
Step 1 · Find numerator in all
2
wholes
and
3
4
=
?
4
Wholes × denominator + extra numerator = numerator in all
Each whole is that many parts. Multiply, then add the extra parts.
Numerator in all = 2 × 4 + 3
2 × 4 = 8
8
+
3
=
11,
so
11
4
Numerator in all = 11
Check
Put the numbers back in. Both sides should match.
2 × 4 + 3 = 11 ✓
full
wholes
in
11
4
:
2
✓
Topic check
See what you know: 5 questions on this topic
New questions each time. Pass to mark it complete.
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