Understand a fraction π’/π£ with π’ > 1 as a sum of fractions 1/π£.
Number and Operations - Fractions
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Understand a fraction π’/π£ with π’ > 1 as a sum of fractions 1/π£.
Number and Operations - Fractions
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
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Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model.
Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
Interpret a fraction as division of the numerator by the denominator (π’/π£ = π’ Γ· π£). 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.
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Interpret the product (π’/π£) Γ π² as a parts of a partition of π² into π£ equal parts; equivalently, as the result of a sequence of operations π’ Γ π² Γ· π£.
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
Understand the fraction a/b, with a > 1, as the sum of a of the fractions 1/b.
Understand a fraction π/π with a > 1 as a sum of fractions 1/π.
Understand a fraction π’/π£ with π’ > 1 as a sum of fractions 1/π£.
Understand and justify decompositions of fractions with denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100.
Understand a fraction π’/π£ with π’ > 1 as a sum of fractions 1/π£.