CCSS.Math.Content.5.NF.B.7b
The Standard
Interpret division of a whole number by a unit fraction, and compute such quotients.
Common Core State Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students interpret whole-number division by a unit fraction as finding how many equal fractional parts fit in the whole number. They compute the quotient and explain it with a model, context, or related multiplication equation.
What Mastery Looks Like
- Students correctly find how many unit fractions fit into a whole number. They support the quotient with a labeled model, a matching story, and a multiplication equation.
Common Misconceptions
- Students may compute 4 ÷ 1/5 as 4/5 or 1/20. They may assume division always makes a number smaller or confuse 4 ÷ 1/5 with 1/5 ÷ 4.
How to Assess It
- Give the exit ticket: “Solve 3 ÷ 1/4. Draw a model and write a multiplication equation that proves your answer.”
Lesson moves
Ways to Teach It
Give students four paper strips, cut each into fifths, and count the total fifth-size pieces.
Ask students to write and explain a story for 6 ÷ 1/3, including what the quotient means.
Play a matching game using division expressions, quotients, fraction models, and related multiplication equations.
Measure whole cups of rice with a 1/4-cup scoop, then connect the scoop count to a division equation.
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Printable 5.NF.B.7b Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.5.NF.B.7b, 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.OA.B.6
Seeing division as a missing factor supports interpreting how many unit fractions fit in a whole number.
- CCSS.Math.Content.3.NF.A.1
Interpreting n divided by 1/b requires seeing 1/b as one equal part and counting how many fit in wholes.
- CCSS.Math.Content.4.NF.B.4a
Counting fractions as copies of a unit fraction supports seeing whole-number division by 1/b as counting those unit pieces.
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.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.
- CCSS.Math.Content.5.NF.B.7a
Interpret division of a unit fraction by a non-zero whole number, and compute such quotients.
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