Adding and Subtracting Fractions Quiz

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Questions and Answers

Ravi estimates that he needs 1 1/2 gallons of paint. He has two cans of paint with the amount of paint shown. Does Ravi have enough paint? Explain.

No, Ravi does not have enough paint. He only has 2/3 + 2/3 = 4/3 gallons of paint. He needs 1 1/2 gallons, which is equal to 3/2 gallons. He is short 1/6 of a gallon of paint.

When adding fractions with unlike denominators, you generate ____ fractions with like denominators before adding.

simplest

improper

equivalent (correct)

Ava drinks 2/3 liter of water during the first quarter of her soccer game. She drinks 2/3 liter during the second quarter. How many liters of water does Ava drink during the first two quarters?

4/3 liters.

Liam and Noah walk together for 2/5 mile. Liam then walks 3/7 mile to his house, and Noah walks 1/2 mile to his house. How far did Liam Walk? How far did Noah walk?

Liam walks 23/35 of a mile and Noah walks 9/10 of a mile. Signup and view all the answers

What is the sum? Choose the correct answer. 4 2/5 + 1 4/10 = ?

5 6/10 Signup and view all the answers

Mia hikes 1 1/2 miles to the river, kayaks 2 1/4 miles downstream, and then hikes back 1 1/3 miles to her starting point. How far does Mia travel in total?

5 7/12 miles Signup and view all the answers

A baker uses 4 1/2 cups of flour to bake cakes in the morning. In the evening, she uses 3 1/4 more cups of flour than she used in the morning. How many cups of flour did the baker use in total that day?

7 3/4 cups of flour Signup and view all the answers

Jason filled a tank with 12 5/8 liters of water. After watering his garden, he used 7 3/4 liters of water. How many liters of water are left in the tank?

4 7/8 liters Signup and view all the answers

Sophia solved this subtraction problem: 6 1/5 - 4 1/3 = 32/5 - 13/3 = 19/15. Is Sophia correct? Explain why or why not.

False Signup and view all the answers

What is the difference? 1 3/5 - 2/4 =

1 7/20 Signup and view all the answers

Su Myat solved this equation: 5 3/6 - 4 3/6 = 235/6 - 24/6 = 211/42 or 2 1/12. Is Su Myat correct? Explain why or why not.

False Signup and view all the answers

Maria picks 7 2/5 pounds of apples, and Emma picks 5 3/10 pounds of apples. Together, they want to pick 20 1/5 pounds. If they both pick the same additional amount, how many more pounds of apples should they pick to reach their goal?

7 1/2 pounds of apples Signup and view all the answers

Zainab has 2 1/4 pounds of rice in her basket. Emmanuel adds 3 2/6 more pounds of rice into the basket. How many pounds of rice are in Zainab's basket now?

5 2/3 pounds of rice Signup and view all the answers

Amira walks 2 2/5 miles from her home to the market. Salim walks 1 1/2 miles from his home to the market. Who lives closer to the market? By how much?

Salim lives closer to the market by 1/10 of a mile. Signup and view all the answers

Thandi is helping to clean up a community center. The trash bag she is using can hold up to 30 pounds. There are 21 5/6 pounds in the bag now. How many more pounds of trash can Thandi collect with the same bag?

8 1/6 pounds of trash Signup and view all the answers

Faruk and Lila share a collection of 28 pencils. Faruk takes 4/7 of the pencils, and Lila takes 1/4 of the pencils. How many pencils will each have? How many pencils are left in the collection?

Faruk will have 16 pencils, Lila will have 7 pencils and 5 pencils will be left. Signup and view all the answers

Marie is baking 12 tarts. Each tart uses 3/5 cup of fruit filling. How many cups of fruit filling will Marie use?

Marie uses 7 1/5 cups of fruit filling. Signup and view all the answers

Bekele dedicates 5/6 of his farm to growing coffee. The total area of his farm is 30 square meters. What is the area of his farm that will not be used for coffee cultivation?

5 square meters. Signup and view all the answers

Fatima prepared for a running marathon. On each of 8 days, she ran 7/10 mile. How far did she run in those 8 days?

5 3/5 miles. Signup and view all the answers

Salim built a garden that covers 5/6 of his backyard. He plans to plant 1/4 of the garden with roses. What fraction of the whole backyard will be covered with roses?

5/24 of the whole backyard. Signup and view all the answers

Ayaka and Daichi are building a treehouse. They have completed 3/4 of the treehouse. If Ayaka built 5/8 of the partly-built treehouse, what fraction of the entire treehouse did Ayaka build?

15/32 Signup and view all the answers

Will the product of 10/50 x 6/13 be the same as the product of 1/5 x 6/13? Explain.

True Signup and view all the answers

Zhang Wei is brewing green tea. The recipe calls for 2/5 cup of tea leaves. If he wants to make 3/4 of the recipe, how much tea leaves will he need?

3/10 cup of tea leaves. Signup and view all the answers

What is the product of mixed numbers given below? 1 1/24 x 2 1/25 =

3 1/16 Signup and view all the answers

Chloé used 2 2/5 times more chocolate chips than flour to bake cookies. She used 1 3/8 cups of flour. How many chocolate chips did she use?

3 1/10 chocolate chips Signup and view all the answers

Olivia has a rectangular picture frame with a length of 2 5/8 inches and a width of 1 3/4 inches. What is the area of the picture frame?

4 23/32 in² Signup and view all the answers

A history book has 90 pages. Daehyun read 4/9 of the pages. Yuna read 2/3 of the pages that Daehyun read. How many pages have Daehyun and Yuna each read?

Daehyun reads 40 pages, and Yuna reads 26 2/3 pages. Signup and view all the answers

Hannah is measuring three sheets of metal. Sheet A is 1 1/2 times as long as Sheet B. Sheet C is 2 2/3 times as long as Sheet A. Order the sheets from least length to greatest length.

Sheet B, Sheet A, Sheet C Signup and view all the answers

Mateo walked 3 miles along a boardwalk. There were snack stands every 1/2 mile. How many snack stands did Mateo pass during his walk?

6 snack stands Signup and view all the answers

Maya is preparing pancakes. Her recipe uses 1 1/3 cup of milk to make 9 pancakes. How much milk should Maya use to make 3 pancakes?

1/3 cup of milk Signup and view all the answers

Study Notes

Question 1

Ravi needs 1⅓ gallons of paint
He has two cans of paint: ⅔ gallon and ¾ gallon
Determine if Ravi has enough paint
Calculate the total amount of paint: ⅔ + ¾ = 1 1/12
Yes, Ravi has enough paint.

Question 2

When adding fractions with unlike denominators, you generate equivalent fractions with like denominators before adding
Answer: equivalent

Question 3

Ava drinks 2/3 liter of water in the first quarter
She drinks 2/3 liter of water in the second quarter
Calculate total water consumed in two quarters
Calculate the total: 2/3 + 2/3 = 4/3 = 1 1/3 liters

Question 4

Liam and Noah walked together for 4/9 mile
Liam walked 3/7 mile to his house
Noah walked 2/5 mile to his house
Calculate the distance Liam walked

Question 5

Calculate the sum of 4 6/10 + 1 3/10
Answer: 6

Question 6

Mia hikes 1½ miles to the river
Kayaks 2⅔ miles downstream
Hikes back 1⅓ miles
Calculate the total distance of Mia's travel

Question 7

A baker uses 4⅔ cups of flour in the morning
She uses 1⅓ more cups in the evening
Calculate the total cups of flour used
Calculate the total: 4 2/3 + 1 1/3 = 6 cups

Question 8

Jason filled a tank with 12⅗ liters of water
He used 7⅗ liters of water
Find out the remaining water
Calculate the remaining water: 12 3/5 - 7 3/4 = 5 1/20

Question 9

Sophia solved the subtraction problem 6 2/5 - 4 3/5 = 1 2/10 = 1 1/5
The given result (1 1/5) is incorrect.
To compare
6 2/5 = 32/5 and 4 3/5 = 23/5
Calculate 32/5 - 23/5 =9/5 =1 4/5
The answer should be 1 4/5 not 1 1/5

Question 10

The calculation is 3 ¾ - 2 ¼
Calculate the difference: 1 ½

Question 11

Su Myat solved an equation
Verify Su Myat's work, and explain why or why not
Did the solution have an error?
Clarify the steps to solve the equation
Whether the solution is correct

Question 12

Maria picks 5 2/5 pounds of apples
Emma picked 3 3/10 pounds of apples
They want to reach 20 pounds together
Calculate the additional amount they need to reach the goal
20 - (5 2/5 + 3 3/10) = 11 1/10

Question 13

Zainab has 2 1/4 pounds of rice
Emmanuel adds 3 5/6 pounds
Calculate the total pounds of rice in Zainab's basket now
2 1/4 + 3 5/6 = 6 1/12

Question 14

Amira walked 2 2/3 miles
Salim walked 1⅔ miles
Who lives closer to the market
Calculate the difference between the distances
Determine who lives closer to the market
Compare the distances, find the difference

Question 15

A trash bag can hold 30 pounds
There are 21 pounds in the bag already
Calculate how many more pounds of trash
Determine the remaining space: 30 - 21 = 9

Question 16

Faruk and Lila share 28 pencils
Faruk takes 4/7 of the pencils
Lila takes 1/4 of the pencils
Calculate how many pencils each will receive
Calculate the remainder pencils

Question 17

Marie makes 12 tarts
Each tart needs 3/5 cup of fruit filling
How many cups of fruit filling will Marie need?
Calculate the total cups of filling: 12 x 3/5 = 36/5 = 7 1/5

Question 18

Bekele dedicates 6/10 of his 30 square meters farm to growing coffee
Calculate the area of the farm that will not be used for coffee cultivation
Calculate the area: 30 x 6/10 = 18

Question 19

Fatima ran 7/10 mile each day for 8 days
Calculate the total distance of the run
Calculate the total: (7/10) x 8 = 5.6

Question 20

Salim built a garden on 5/6 of the backyard
He will plant 1/4 of the garden with roses
Calculate the fraction of the backyard covered in roses
Calculate the fraction: (5/6) x (1/4) = 5/24

Question 21

Ayaka and Daichi are building a treehouse
They have completed 3/5 of the treehouse
Ayaka built 4/8 of the partly-built treehouse
Calculate the fraction Ayaka built
Calculate: (4/8) x (3/5) = 3/10

Question 22

Determine if the product of 10/50 x 6/13 is the same as 5/13 x 6/2

Question 23

Zhang Wei's green tea recipe calls for 2/5 of a cup of tea leaves
He wants to make 3/4 of the recipe, calculate the amount of tea leaves needed
Calculate the amount: (2/5) x (3/4) = 6/20 = 3/10

Question 24

Calculate the product of 2 ¼ x 2 5/7
Calculate the product: (9/4) x (19/7) = 171/28 = 6 3/4

Question 25

Chloé used 2 2/3 times more chocolate chips than flour
She used 1 1/8 cups of flour
Calculate the amount of chocolate chips used
Calculate: 2 2/3 x 1 1/8 = 30/24 1 1/4 or 1 ¼ cups

Question 26

Olivia has a rectangular picture frame with a length of 2 inches and a width of 1 2/3 inches
Calculate the area of the picture frame
Calculate the area: 2 x 1 2/3 = 2 x 5/3 = 10/3 = 3 1/3

Question 27

A history book has 90 pages
Daehyun reads 3/4 of the pages
Yuna reads 1/8 of the pages Daehyun read
How many pages did Daehyun and Yuna each read
Daehyun: 90 x 3/4 = 67.5 = 68 [approximately]
Yuna: 68 x 1/8 = 8.5 ≈ 9

Question 28

Hannah measures three metal sheets
Sheet A is 1/2 times as long as Sheet B
Sheet C is 2/3 times as long as Sheet A
Arrange the sheets from least to greatest length
Compare the lengths of the sheets to arrange them

Question 29

Mateo walked 3 miles along a boardwalk
There were snack stands every 1 mile
How many snack stands did Mateo pass during his walk
Calculation: 3 snack stands

Question 30

Maya uses 1/3 cup of milk to make 9 pancakes
calculate how much milk she should use to make 3 pancakes
Calculate the milk needed for 3 pancakes
Calculate: (1/3) / 3 = 1/9

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Description

Test your understanding of adding and subtracting fractions through a variety of problems. This quiz includes questions about mixed numbers, unlike denominators, and contextual scenarios involving distances and quantities. Perfect for reinforcing your skills in fraction calculations.