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?

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

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

<p>5 6/10 (B)</p> 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?

<p>5 7/12 miles</p> 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?

<p>7 3/4 cups of flour</p> 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?

<p>4 7/8 liters</p> 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.

<p>False (B)</p> Signup and view all the answers

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

<p>1 7/20</p> 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.

<p>False (B)</p> 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?

<p>7 1/2 pounds of apples</p> 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?

<p>5 2/3 pounds of rice</p> 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?

<p>Salim lives closer to the market by 1/10 of a mile.</p> 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?

<p>8 1/6 pounds of trash</p> 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?

<p>Faruk will have 16 pencils, Lila will have 7 pencils and 5 pencils will be left.</p> 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?

<p>Marie uses 7 1/5 cups of fruit filling.</p> 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?

<p>5 square meters.</p> 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?

<p>5 3/5 miles.</p> 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?

<p>5/24 of the whole backyard.</p> 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?

<p>15/32</p> 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.

<p>True (A)</p> 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?

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

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

<p>3 1/16</p> 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?

<p>3 1/10 chocolate chips</p> 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?

<p>4 23/32 in²</p> 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?

<p>Daehyun reads 40 pages, and Yuna reads 26 2/3 pages.</p> 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.

<p>Sheet B, Sheet A, Sheet C</p> 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?

<p>6 snack stands</p> 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?

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

Flashcards

Equivalent Fractions

To find equivalent fractions, multiply both the numerator and denominator of a fraction by the same number.

Like Denominators

Fractions with the same denominator.

Improper Fraction

A fraction where the numerator is greater than or equal to the denominator. It represents a whole number or a whole number and a fraction.

Proper Fraction

A fraction where the numerator is smaller than the denominator. It represents a part of a whole.

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Adding Fractions with Unlike Denominators

Adding fractions with different denominators requires finding equivalent fractions with the same denominator before adding the numerators.

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Sum

The result of adding two or more numbers.

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Total Distance Traveled

The total distance travelled by Mia, including hiking to the river, kayaking downstream, and hiking back to her starting point.

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Difference

Finding the difference between two numbers involves subtracting the smaller number from the larger number.

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Difference

The result of subtracting one number from another.

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Liters of Water Remaining

The quantity of water that remains in the tank after watering the garden.

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Total Cups of Flour

The total amount of flour used in baking, including the flour used in the morning and the evening.

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Additional Pounds of Apples

The total number of pounds of apples that Maria and Emma need to pick to reach their goal of 20 pounds.

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Total Pounds of Rice

The total amount of rice in Zainab's basket after Emmanuel adds more rice.

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Distance to the Market

The distance a person lives from the market, measured in miles.

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More Pounds of Trash

The amount of trash that can be added to the bag before it reaches its maximum capacity.

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Fraction of Pencils Faruk Takes

The fraction of the total number of pencils that Faruk takes.

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Fraction of Pencils Lila Takes

The fraction of the total number of pencils that Lila takes.

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Total Cups of Fruit Filling

The total amount of fruit filling that Marie will use to bake 12 tarts.

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Area Not Used for Coffee

The portion of Bekele's farm that is not used for coffee cultivation.

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Total Distance Run

The total distance that Fatima ran over 8 days, assuming she ran the same distance each day.

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Fraction of Backyard for Roses

The fraction of the whole backyard that Salim plans to plant with roses.

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Fraction of Treehouse Built by Ayaka

The fraction of the entire treehouse that Ayaka built.

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Area of the Picture Frame

The area of the picture frame, measured in square inches.

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Product

The result of multiplying two or more numbers together.

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Pages Read

The number of pages Daehyun and Yuna each read.

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Number of Snack Stands

The number of snack stands Mateo passed during his walk.

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Milk for 3 Pancakes

The amount of milk Maya should use to make 3 pancakes.

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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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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.

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