Name: # Date: Lesson 8.1 Multiples of Unit Fractions Ms. Mastromarco 1. Write the fraction as a product of a whole number and a unit fraction.! " = 2. List the next four multiples of the unit fractions. &,,,,! % &' = &,,,, 4.NF.B.4a 3. Put these distances in order from least to greatest: &+ mile, & " mile, " mile. 4. Mary makes 12 cupcakes. Nine of the cupcakes have chocolate frosting and the rest have vanilla frosting. What fraction of the cupcakes have vanilla frosting? Write the fraction in simplest form. 4.NF.A.2 4.NF.A.1 5. Patrick sells 47 boxes of watermelons. Each box has 29 watermelons. How many watermelons does Patrick sell altogether? 6. Find the quotient. 4 3,412 4.NBT.B.5 4.NBT.B.6
7. Nicholas buys pound of cheddar cheese. He puts the same amount of cheese on 3 sandwiches. a. How much cheese does Nicholas put on each sandwich? b. Nicholas also buys 1 pound of mozzarella cheese. How much cheese does Nicholas have altogether? c. Write the total amount of cheese as a mixed number. 8. Grace is 31 years younger than her father. Her grandfather is 28 years older than her father. If Grace is 11, how old is her grandfather? What is Grace s age? Write an expression you could solve to find Grace s father s age. How much older than Grace s father is Grace s grandfather? Write an equation to represent Grace s grandfather s age, g. Solve your equation to find Grace s grandfather s age.
Name: # Date: Lesson 8.2 Multiples of Fractions Ms. Mastromarco 1. List the next four multiples of the fraction.,,,,! 2. Write the product as the product of a whole number and a unit fraction. 2 3! = 4.NF.B.4a 3. Sean has 128 stamps in his stamp album. He has the same number of stamps on each of the 8 pages. How many stamps are on each page? 4. List all the factors of the number. Make a factor rainbow if you would like. 56: 4.NBT.B.6 5. Tina buys 3 1 yards of material at the fabric store. She uses it to make a skirt. Afterward, she has 1 yards of the fabric leftover. How many yards of material did Tina use? 4.OA.B.4 6. Find the difference. 3 " " = 1 = 4.NF.B.3d
7. A group of four students is performing an experiment with salt. Each student must add teaspoon of salt to a solution. The group only has a & -teaspoon measuring spoon. How many times will the group need to fill the measuring spoon in order to perform the experiment? 8. Vincent walked 3 mile from home to a park. From the park, he walked another! mile in the &' &' same direction to a store. He turned around and walked toward home. He stopped at a friend s house after " mile. How far from Vincent s home did the friend live? &' a. Write an equation you could use to solve the problem. b. How far from Vincent s home did his friend live?
Name: # Date: Lesson 8.3 Multiply a Fraction by a Whole Number Ms. Mastromarco 1. Multiply. 2 x! " = 2. Emily uses + cup of milk to make one batch of muffins. How many cups of milk will Emily use if she makes 3 batches of muffins? 6 x 3 = 4.NF.B.4 3. Compare the fractions using >, <, or =. 3 &+ 4. A book has 1,527 pages. The library has 3 copies of the book. How many total pages are in the library s copies of the book? 4.NBT.B.5 4.NF.A.1 5. A crate holds 728 basketballs. The factory packs boxes with 8 basketballs in each box. How many boxes of basketballs does the factory pack? 6. Write the fraction as a sum of fractions two different ways. 1 &' = 4.NBT.B.6
7. John s dog had 5 puppies, and 2 of them were spotted. Lauren s dog has 8 puppies, and 3 of them were spotted. Whose dog had the largest fraction of spotted puppies? How many puppies were spotted altogether? Aside from the spotted puppies, one of Lauren s dog s puppies had white fur. The rest had brown fur. Write a fraction that represents the number of Lauren s dog s puppies that had brown fur. 8. In a turtle race, the fastest turtle travels at a speed of about & mile per hour. If a racing turtle 3 could actually keep up this speed for 6 hours, how far would it travel? The slowest turtle travels at a speed of about & mile per hour. How far does the slowest turtle travel in 6 &' hours? Use the 4-step plan to solve and explain. Understand: Make a Plan: Solve & Check: Explain:
Name: # Date: Lesson 8.4 Multiply Fractions & Mixed Numbers by Wholes Ms. Mastromarco 1. Multiply. Write the product as a mixed number. 2. A recipe for dough calls for 2 + cups of milk. Conner wants to make 4 batches of dough. How much milk does he need? 3 x! = 5 x 1 & " = 4.NF.B.4c 3. Find the sum. " + & " =! + 1 = &' &' 4. Order these numbers from least to greatest. 348,300; 348,299; 349,286 4.NF.B.3d 5. List the next four multiples of the fraction. 3,,,, " 4.NBT.A.2 6. Four times as many students prefer swimming as prefer skating. If 64 students prefer swimming, write an equation that can be used to determine how many prefer skating. Solve the equation. 4.NF.B.4a 4.OA.B.4
7. Order the following fractions from least to greatest., 3, &, 3, 1 3 3 Place the fractions on their approximate positions on the number line. 0 1 8. Pizza is on sale by the slice, all pizza pies are the same size. Each pizza is cut into eight-equal sized slices. Each slice of pizza costs four-sixths of a dollar. Two friends buy some pizza. The first friend buys 4 slices and the second friend buys 6 slices. How much money does each friend spend for their pizza? Use the 4-step plan to solve and explain. Simplify or rename as a mixed number when possible. Understand: Make a Plan: Solve & Check: Explain:
Name: # Date: Lesson 8.5 Comparison Problems with Fractions Ms. Mastromarco 1. You run 1 miles each day. Your friend 3 runs 4 times as far as you do. How far does your friend run each day? 2. At the grocery store, James buys 1 & pounds of ground turkey. Matthew buys 2 times as much ground turkey as James. How much ground turkey does Matthew buy? 4.NF.B.4c 3. Compare the fractions using >, <, or =. 4. At a bake sale, Ron sells 1 of an apple pie + "! &+ and! of a cherry pie. Altogether, how much pie does he sell at the bake sale? Write your answer as a proper fraction or mixed number. 4.NF.A.1 4.NF.A.2 5. Round each number to the nearest ten thousand. 435,523: 6. What is the AREA of a rectangle with a length of 32 inches and a width of 17 inches? 742,220: 68,927: 4.NBT.B.4
7. The environmental club is cleaning up a stream. There are 35 girls and 29 boys. They are assigned to work crews of 6 people. Ramona says there will be 10 groups. Beatrice says there will be 11 groups. Write an equation you can use to find the number of groups, g. Who is correct, Ramona or Beatrice? Explain. 8. The table below shows the sizes and weights of containers of potato salad sold at a store. Kim purchased 6 small containers of potato salad and Seth purchased 2 extra large containers of potato salad. What is the difference in the weights, in pounds, of Kim s and Seth s purchases? Show your work.