Fifth Grade Number and Operations - Fractions

Addition and subtraction of fractions with unlike denominators and the relationship between fractions and division.  Just click on the blue links to display or print pdfs.
Standards

Practice Pages
Use equivalent fractions as a strategy to add and subtract fractions - Cluster 1

Standard 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.)

Finding Multiples

Answers 5.NF.1.a


Converting Fractions

Answers 5.NF.1.b

Standard 5.NF.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. 

Add Fractions with Objects

Answers 5.NF.2.a


Subtract Fractions Word Problems

Answers 5.NF.2.b

Apply and extend previous understandings of multiplication and division to multiply and divide fractions - Cluster 2

Standard 5.NF.3:  Interpret a fraction as division of the numerator by the denominator
(a/b = a divided by 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?

Fractions as Division

Answers 5.NF.3.a



Fraction Division Word Problems

Answers 5.NF.3.b


Standard 5.NF.4:  Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

Multiply Fractional Objects

Answers 5.NF.4.a


Fractional Area Tiles

Answers 5.NF.4.b

Standard 5.NF.5:  5 Interpret multiplication as scaling (resizing), by:

 
Multiply to Compare

Answers 5.NF.5.a


Explain Word Problems

Answers 5.NF.5.b

Standard 5.NF.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.

Extended Response

Answers 5.NF.6.a


Multiply Fractions

Answers 5.NF.6.b

Standard 5.NF.7:  Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
.

Divide Fractional Objects

Answers 5.NF.7.a



Extended Response

Answers 5.NF.7.b