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Grade 5 Math · Fractions

Divide whole numbers and unit fractions

Use this for “How many 1/3-cup scoops are in 4 cups?”

Diagram

0123412/4
12/4: 12 jumps of 1/4 from 0.
That is exactly 3: 12/4 = 3.
This is an example. Type your own values to start a new problem.
Whole number
÷
1
Denominator of the unit fraction
=
Pieces

Formulas

3
÷
1
4
=
12
Whole number × denominator = pieces

Assumptions

•
Dividing by a unit fraction asks how many of those pieces fit: how many fourths in 3?
•
Each whole holds as many pieces as the denominator says. Multiply the whole number by the denominator.
•
Whole numbers to 6, denominators from 2 to 8.

Step-by-step

WE KNOW
Whole number: 3 Denominator of the unit fraction: 4
FIND
pieces
Step 1 · Find pieces
3
÷
1
4
=
?
Whole number × denominator = pieces
Each whole is cut into that many pieces. Count the pieces in all the wholes.
Pieces = 3 × 4
Pieces = 12
Check
Put the numbers back in. Both sides should match.
3 × 4 = 12 ✓
Topic check
See what you know: 5 questions on this topic
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