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Mathematics / Arithmetic Operations on Fractions

Mathematics / Arithmetic Operations on Fractions

4.NF.3. Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
 •  Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.  •  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.
 •  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.
 •  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.
4.NF.4. Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
 •  Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).
 •  Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)
 •  Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?

Exercises
Topics
Exercises
Topics
  • Addition of Fractions

    Tags : Picture problems involving adding fractions, add shaded parts of a figure, compare fractions.

    • Questions: 653

    Subtraction of Fractions

    Tags : Picture problems involving difference of fractions, subtract shaded parts of a figure, compare difference of fractions.

    • Questions: 653

    Fractions - Word Problems

    Tags : Word and mathematical problems involving fractions, solve using addition, subtraction, multiplication and division of fractions.

    • Questions: 200
    • Addition of Fractions
    • Subtraction of Fractions
    • Word Problems

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