## Adding and subtracting fractions with same denominators

Activity type: Interactive Activity

## Adding and subtracting fractions with same denominators

Course
Mathematics
Section
Fractions
Outcome
Addition and subtraction of fractions with the same denominators.
Activity Type
Interactive Activity
Activity ID
21313

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## United States – Common Core State Standards

• ##### 4.NF – Number & Operations—Fractions (Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100.)
• Mathematics

• 4.NF.3 – Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

• 4.NF.3.b – 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. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.

• 4.NF.3.c – 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.

• 4.NF.3.d – 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.

## Australia – Australian Curriculum

• ##### Number and Algebra
• Fractions and decimals

• ACMNA103 – Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator

## New Zealand – National Standards

• ##### 6.NA – Number and algebra
• 6.NA.1 – Apply additive and simple multiplicative strategies flexibly to:

• 6.NA.1.b – Find fractions of sets, shapes, and quantities

## United Kingdom – National Curriculum

• ##### Year 4 programme of study
• KS2.Y4.N.F – Number - fractions (including decimals)

• Pupils should be taught to:

• KS2.Y4.N.F.4 – Add and subtract fractions with the same denominator

• ##### Year 5 programme of study
• KS2.Y5.N.F – Number - fractions (including decimals and percentages)

• Pupils should be taught to:

• KS2.Y5.N.F.4 – Add and subtract fractions with the same denominator, and denominators that are multiples of the same number