CCSS.Math.Content.5.NF.B.7a
The Standard
Interpret division of a unit fraction by a non-zero whole number, and compute such quotients.
Common Core State Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students split one unit fraction into a given number of equal shares. They find the quotient with a visual model and verify it using a related multiplication equation.
What Mastery Looks Like
- A student can explain that dividing 1/b by n creates n smaller equal parts, each measuring 1/(b × n). They can model an example, calculate accurately, and check the quotient with multiplication.
Common Misconceptions
- Students may divide the denominator by the whole number instead of multiplying it. They may invert the unit fraction, confusing 1/3 ÷ 4 with 4 ÷ 1/3. Some draw four copies of 1/3 rather than partitioning one 1/3 into four equal shares.
How to Assess It
- Exit ticket: Draw a model for 1/6 ÷ 3, write the quotient, and give a multiplication equation that checks your answer.
Lesson moves
Ways to Teach It
Give pairs paper fraction strips; students shade 1/3, cut it into four equal pieces, and label each piece 1/12.
Ask students to explain why 1/5 divided by 3 equals 1/15 using both a drawing and a multiplication equation.
Play a matching game with unit fraction division cards, visual models, quotients, and related multiplication equations.
Have students share 1/2 liter of juice equally among five cups, then draw and calculate the amount in each cup.
Free download
Printable 5.NF.B.7a Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.5.NF.B.7a, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetLearning progression
Where This Standard Sits
Before This Standard
If students are struggling here, check these first.
- CCSS.Math.Content.3.NF.A.1
Dividing a unit fraction by a whole number requires seeing 1/b as one equal part that can be partitioned again.
- CCSS.Math.Content.3.OA.A.2
Equal sharing and quotient meanings from whole-number division carry over to interpreting a unit fraction split into equal parts.
- CCSS.Math.Content.4.NF.B.4a
Seeing fractions as unit-fraction pieces supports interpreting a unit fraction being split into equal smaller parts.
What This Unlocks
Mastery here sets students up for these next.
Keep exploring
Related Standards
- CCSS.Math.Content.5.NF.B.3
Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers i...
- CCSS.Math.Content.5.NF.B.7b
Interpret division of a whole number by a unit fraction, and compute such quotients.
- CCSS.Math.Content.6.NS.A.1
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and eq...
- CCSS.Math.Content.5.NF.B.7
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.