Grade 5 Number and Operations—Fractions Free Bundle

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This fantastic bundle includes FREE worksheets and quiz items about Number and Operations—Fractions. These ready-to-use Common Core-aligned, Grade 5 Math worksheets, are perfectly paired with premium End-of-Year test booklets.

Common Core Standards (5.NF)

Use equivalent fractions as a strategy to add and subtract fractions.

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.)
2. Solve word problems involving addition and subtraction of fractions
   referring to the same whole, including cases of unlike denominators,
   e.g., by using visual fraction models or equations to represent the
   problem. Use benchmark fractions and number sense of fractions
   to estimate mentally and assess the reasonableness of answers. For
   example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that
   3/7 < 1/2.

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

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?
4. Apply and extend previous understandings of multiplication to
   multiply a fraction or whole number by a fraction.
   a. Interpret the product (a/b) × q as a parts of a partition of q
   into b equal parts; equivalently, as the result of a sequence of
   operations a × q ÷ b. For example, use a visual fraction model to
   show (2/3) × 4 = 8/3, and create a story context for this equation. Do
   the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)
   b. Find the area of a rectangle with fractional side lengths by tiling it
   with unit squares of the appropriate unit fraction side lengths, and
   show that the area is the same as would be found by multiplying
   the side lengths. Multiply fractional side lengths to find areas of
   rectangles, and represent fraction products as rectangular areas.

5. Interpret multiplication as scaling (resizing), by:
   a. Comparing the size of a product to the size of one factor on
   the basis of the size of the other factor, without performing the
   indicated multiplication.
   b. Explaining why multiplying a given number by a fraction greater
   than 1 results in a product greater than the given number
   (recognizing multiplication by whole numbers greater than 1 as
   a familiar case); explaining why multiplying a given number by
   a fraction less than 1 results in a product smaller than the given
   number; and relating the principle of fraction equivalence a/b =
   (n×a)/(n×b) to the effect of multiplying a/b by 1.

6. Solve real world problems involving multiplication of fractions and
   mixed numbers, e.g., by using visual fraction models or equations to
   represent the problem.

7. Apply and extend previous understandings of division to divide unit
   fractions by whole numbers and whole numbers by unit fractions.1
   a. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.

b. Interpret division of a whole number by a unit fraction, and
compute such quotients. For example, create a story context for
4 ÷ (1/5), and use a visual fraction model to show the quotient. Use
the relationship between multiplication and division to explain that
4 ÷ (1/5) = 20 because 20 × (1/5) = 4.
c. Solve real world problems involving division of unit fractions by
non-zero whole numbers and division of whole numbers by unit
fractions, e.g., by using visual fraction models and equations to
represent the problem. For example, how much chocolate will each
person get if 3 people share 1/2 lb of chocolate equally?

Resource Examples

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