Equivalent Expressions
Word Problems
Random
100

Create an expression that is equivalent to...


5/12  +  4/12 

Example: 4/12 + 5/12

               1/12 + 6/12 + 2/12

               3/12 + 3/12 + 3/12 


100

Mrs. Holland read 4/6 of her book last night. She read another 1/6 this morning. How much does she have left to read? 

1/6 of the book is left because 4/6 + 1/6= 5/6 and 6/6 - 5/6 = 1/6 

100
Solve- 2  5/6 + 1  2/6 

4  1/6 

200

Create an expression that is equivalent to...

2/12  +  1/12 

1/12 + 2/12 

1/12 + 1/12 + 1/12 

200

If grandma uses 2  3/4 cups of vegetable broth and 1  1/4 cups of cream, how much does she use in all?

4 cups all together 

200

Show three different ways to decompose 5/10 

3/10 + 2/10 

1/10 + 1/10 + 3/10 

1/10 + 1/10 + 1/10 + 1/10 + 1/10

300

Create an expression that is equivalent to...

16/12  - 1/12 

5/12 + 10/12 

11/12 + 4/ 12 


300

On Friday, 1/5 of the students in class were absent. What fraction of the students were NOT absent? EXPLAIN


4/5 of the students are not absent because 5/5 represents the entire class. When you take 5/5 - 1/5 = 4/5. 

300

Tami and Orlando each decomposed 1  3/4. Tami wrote 2/4 + 2/4 + 3/4 and Orlando wrote 4/4 + 3/4. Who is correct? 

Both are correct because 2/4 + 2/4 + 3/4 and 4/4 + 3/4 are equivalent expressions. 

400

Create an expression that is equivalent to...

2/12 + 3/12 + 6/12 

10/12 + 1/12 

2/12 + 3/12 + 6/12 

14/12 - 3/12 

400

Cole spent some time working on his history homework. Then, he spent 5/12 hour working on his Spanish homework. Cole spent 1 hour working on homework. What fraction of an hour did Cole spend on history? 

Cole spent 7/12 hour because 12/12 - 5/12= 7/12

400

Show 4/10 + 3/10 = 7/10 on a number line 

N/A

500

What is the simplified version of the following three fractions...

6/12, 9/21, 8/10 

6/12 = 1/2 (divide by 6)

9/21= 3/7 (divide by 3)

8/10= 4/5 (divide by 2) 

500

Claire had 4   1/6 feet of string. She used some string to hang party decorations. Now she has 1  5/6 feet of strong left. How much string did Claire use? Draw a model and solve. 

2   2/6= 2 1/3

500

How many cups of soup will be made with all the ingredients? 

Chicken Broth- 2  3/4 

Water - 1  2/4 

Cream- 1  1/4 

Vegetable Stock- 2  3/4 

8  1/4 cups of soup