green edge
increase test scores

Division as Fractions

5th Grade

Alabama Course of Study Standards: 11

Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers.
  1. Model and interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b)
  2. Use visual fraction models, drawings, or equations to represent word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers

Arkansas Academic Standards: 5.NF.B.3

  • Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b), where a and b are natural numbers
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.
  • Solve word problems involving division of natural numbers leading to answers in the form of fractions or mixed numbers
For example: Use visual fraction models or equations to represent the problem. 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?

Arizona - K-12 Academic Standards: 5.NF.B.3

Interpret a fraction as the number that results from dividing the whole number numerator by the whole number denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers. 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?

Common Core State Standards: Math.5.NF.3 or 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?

Georgia Standards of Excellence (GSE): 5.NR.3.1

Explain the meaning of a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers.

North Carolina - Standard Course of Study: 5.NF.3

Use fractions to model and solve division problems.
  • Interpret a fraction as an equal sharing context, where a quantity is divided into equal parts.
  • Model and interpret a fraction as the division of the numerator by the denominator.
  • Solve one-step word problems involving division of whole numbers leading to answers in the form of fractions and mixed numbers, with denominators of 2, 3, 4, 5, 6, 8, 10, and 12, using area, length, and set models or equations.

New York State Next Generation Learning Standards: 5.NF.3

Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b).
e.g., 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.
Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers.
e.g., using visual fraction models or equations to represent the problem
e.g., 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?

Tennessee Academic Standards: 5.NF.B.3

Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve contextual problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers by using visual fraction models or equations to represent the problem. For example, if 8 people want to share 49 sheets of construction paper equally, how many sheets will each person receive? Between what two whole numbers does your answer lie?

Wisconsin Academic Standards: 5.NF.B.3

Interpret a fraction as an equal sharing division situation, where a quantity (the numerator) is divided into equal parts (the denominator). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, by using visual fraction models (e.g., tape diagrams or area models) or equations to represent the problem.
For example, 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?

Pennsylvania Core Standards: CC.2.1.5.C.2

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Pennsylvania Core Standards: M05.A-F.2.1.1

Solve word problems involving division of whole numbers leading to answers in the form of fractions (including mixed numbers).

Florida - Benchmarks for Excellent Student Thinking: MA.5.FR.1.1

Given a mathematical or real-world problem, represent the division of two whole numbers as a fraction.

Georgia Standards of Excellence (GSE): 5.NR.3.1

Explain the meaning of a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers.

5th Grade Math - Division as Fractions Lesson
 
green bar
green bar green bar

Processing Request...