Addition and Subtraction of Like and Unlike Fractions

​Standards

• 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.)

• 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.

5th Grade | Mathematics

​Objectives

• Students will be able to solve two-step word problems.

• ​Students will be able to add and subtract like and unlike denominators.

Sth Grade | Mathematics

Multiple Choice

Solve by adding the fractions

• $$\frac{20}{24}$$  

• $$\frac{\text{19}}{\text{24}}$$  

• $$1\frac{\text{19}}{\text{24}}$$  

• $$1\frac{\text{20}}{\text{24}}$$  

Multiple Choice

Solve by adding the fractions

• $$\frac{3}{8}$$

• $$\frac{\text{11}}{\text{15}}$$  

• $$\frac{3}{15}$$

• $$\frac{2}{8}$$

Multiple Choice

Solve by adding the fractions

• $$\frac{13}{20}$$

• $$\frac{3}{9}$$

• $$\frac{8}{10}$$

• $$\frac{20}{30}$$

Multiple Choice

Solve by subtracting the fractions

• $$\frac{1}{14}$$

• $$\frac{1}{4}$$

• $$\frac{3}{9}$$

• $$\frac{4}{14}$$

Multiple Choice

Solve by subtracting the fractions

• $$\frac{5}{12}$$

• $$\frac{3}{6}$$

• $$\frac{1}{3}$$

• $$\frac{1}{9}$$

Open Ended

What is $$\frac{5}{6}$$ - $$\frac{2}{3}$$ =

Multiple Choice

Solve by subtracting the fractions

• $$\frac{3}{1}$$

• $$\frac{10}{12}$$

• $$\frac{7}{11}$$

• $$\frac{13}{30}$$

Multiple Choice

Does $$\frac{1}{4}$$ + $$\frac{1}{5}$$ = $$\frac{9}{20}$$

• Yes

• No, it equals $$\frac{2}{9}$$

• No, it equals $$\frac{2}{20}$$

• No, it equals $$\frac{1}{20}$$

Open Ended

What have you learned about adding and subtracting decimals with unlike denominator? What questions do you still have about this stndard?