## Adding and Subtracting Related Fractions

Activity type: Video

## Adding and Subtracting Related Fractions

Course
Mathematics
Section
Fractions
Outcome
Addition and subtraction of related fractions.
Activity Type
Video
Activity ID
29772

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## United States – Common Core State Standards

• ##### 5.NF – Number & Operations—Fractions
• Mathematics

• 5.NF.1 – Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

• ##### 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.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

• ACMNA126 – Solve problems involving addition and subtraction of fractions with the same or related denominators

## New Zealand – National Standards

• ##### 7.NA – Number and algebra
• 7.NA.1 – Apply additive and multiplicative strategies flexibly to whole numbers, ratios, and equivalent fractions (including percentages)

## United Kingdom – National Curriculum

• ##### 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