Word Problems
What fraction decomposes into the addition expression
1/5 + 1/5 + 2/5?
a. 1/5
b. 2/5
c. 3/5
d. 4/5
d. 4/5
Which addition expressions show a decomposition of 5/8? CHOOSE ALL THAT ARE CORRECT!!
a. 2/8 + 3/8
b. 1/8 + 1/8 + 1/8 + 1/8
c. 1/8 + 1/8 + 2/8
d. 1/8 + 1/8 + 1/8 + 1/8 + 1/8
e. 1/8 + 2/8 + 2/8
The correct answer(s) are:
a. 2/8 + 3/8
d. 1/8 + 1/8 + 1/8 + 1/8 + 1/8
e. 1/8 + 2/8 + 2/8
Fill in the blank:
The bottom number of a fraction is called the _____________.
Fill in the blank:
The bottom number of a fraction is called the DENOMINATOR.
Correct the following problem:
1/4 + 1/4 + 1/4 = 3/12
1/4 + 1/4 + 1/4 = 3/4
Timothy mowed 1/6 of the lawn. His sister Eliana mowed 4/6 of the lawn. How much of the lawn did Timothy and Eliana mow in all?
1/6 + 4/6 = 5/6
They mowed 5/6 of the lawn in all.
What is the sum?
3/7 + 2/7 + 1/7 = ?
3/7 + 2/7 + 1/7 = 6/7
Fill in the blank:
The top number in a fraction is called the __________.
Fill in the blank:
The top number in a fraction is called the NUMERATOR.
Correct the following problem:
5/4 - 3/4 = 2/0
5/4 - 3/4 = 2/4
Marina used 3/12 pound of butter for her cookies and 4/12 pound of butter for carrot cake. How much butter did Marina use?
3/12 + 4/12 = 7/12
Marina used 7/12 pound of butter.
Create a fraction model to represent the expression
3/7 + 2/7 + 1/7
*First team to show a CORRECT model*
Rex, Wyatt, and Hanna are painting a room in their school. After 1 hour they had painted 10/12 of the room. Wyatt painted 4/12 of the room. Hanna painted 3/12.
How much of the room did Rex and Hanna paint together?
3/12 + 3/12 = 6/12 of the room together.
Four friends shared pizza at a party.
Liam ate 3/8 of a pizza.
Maya ate 1/8 of the same size pizza.
Jordan tried to solve the problem: “I added the fractions by adding the tops and bottoms. So they ate 4/16 of the pizza.”
3/8 + 1/8 = 4/16
Where did Jordan make a mistake?
Jordan added the denominators, when he shouldn't have.
The correct answer is 3/8 + 1/8 = 4/8
Monica has 2/5 of a glass filled with milk. She adds milk to the glass until 4/5 of the glass is filled with milk. How mch milk does Monica add to the glass?
She adds 2/5 of a glass of milk.
Is this equation correct? Prove yes or no with a representation.
4/8 - 3/8 = 1/16
NO! This equation is not correct. You don't add the denominators together.
*MUST INLCUDE A REPRESENTATION FOR FULL POINTS*
Sierra swam 9/10 the length of a swimming pool. Vinny swam 3/10 less of the length than Sierra.
Write an equation that that can be used to find the distance that Vinny swam.
9/10 - 3/10 = 6/10
Vinny swam 6/10 the length of the pool.
A tray held a batch of cookies.
Ava ate 5/6 of the cookies. Her brother ate 1/3 of the cookies. How many cookies were eaten altogether?
Sofia's Thinking: "Since sixths are bigger numbers than thirds, I changed 5/6 into thirds. 5/6 = 5/3.
Then I added: 5/3 + 1/3 = 6/3 = 2
They ate 2 whole trays of cookies!"
Is Sofia correct?
No, she is not correct.
They ate 7/6 of the cookies
The water cooler at Mr. Kane's office was 8/10 full. The office workers drained 6/10 of the cooler during the day. At the end of the day more water was added and the cooler is now 9/10 full. How much water was added at the end of the day?
7/10 water was added to the cooler at the end of the day.
Represent 7/8 - 3/8 on a number line.
*First team to show a fully labeled number line with correct jumps gets full points*
*First team to show a fully labeled number line with correct jumps gets full points*
You have a container that has a limit of 3/4 cup and another container that has a limit of 5/4 cup. You want to measure out exactly 1 cup into a bowl. Show an equation that would get you exactly 1 cup into the bowl.
Example:
1st container --> 3/4 - 2/4 = 2/4
2nd container --> 5/4 - 3/4 = 2/4
Bowl --> 2/4 + 2/4 = 4/4
A pitcher was filled with juice. Carlos drank 7/10 of the juice. Later, Emma drank 3/5 of the pitcher. How much juice was drunk altogether?
Mai's thinking:
"I noticed 5 goes into 10, so I left 7/10 the same. Then I subtracted because the juice was disappearing:
7/10 - 3/5 --> 3/5 = 6/10 --> 7/10 - 6/10 = 1/10
So only 1/10 of the juice was drunk"
Is Mai correct?
No, she subtracted instead of added
The correct answer is 13/10.