Learning Goal
Part of: Apply and extend previous understandings of multiplication and division to multiply and divide fractions — 1 of 5 cluster items
Interpret a fraction as division of the numerator by the denominator
**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 in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
Show moreShow less
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 in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
What you'll learn
- Explain in their own words why a fraction a/b is equivalent to the division expression a / b, using the fair-sharing interpretation: dividing a items equally among b people gives each person a/b
- Interpret a division problem whose quotient is not a whole number and express the answer as a fraction or mixed number rather than writing a remainder
- Verify the fraction-as-division relationship by multiplying back: if a / b = a/b, then (a/b) x b = a
- Solve word problems in which whole numbers are divided and the result is a fraction or mixed number, selecting an appropriate visual model (equal-sharing diagram, number line, or equation) to represent the situation
- Locate a fractional or mixed-number quotient between two consecutive whole numbers on a number line, demonstrating understanding of its magnitude
Slides
Interactive presentations perfect for visual learners • Interactive presentation
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Task-sets
Learning resource • 1 task-sets