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 50pound 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 