Unit 4 Practice Problems MCC.4.NF.a-c: Multiplying Fractions Write the multiplication problem: Model this multiplication sentence using circles. 5x 𝟓 𝟖 Solve. 6x a) b) c) 𝟕 𝟓 𝟔 𝟑𝟎 𝟔 𝟓 𝟏 𝟓 Wanda is making 7 bracelets. 𝟏 Each bracelet will use yards 𝟔 of ribbon. How many yards will be used to make 7 bracelets? The hair stylist had 14 customers on Thursday. One-seventh needed haircuts. How many customers needed haircuts? a) b) c) d) 7 customers 1 customer 2 customers 9 customers Fred was given 10 ten pitches and 𝟏 hit of them. George was given 10 𝟐 𝟏 𝟓 pitches and hit of them. Fill in the sentence: Fred had ___ hits and George had __ hits. (number) ________had more hits than ________. (name) 𝟐 𝟑 • Each student gets of a cup of juice. If there are 7 students in the class, how many cups of juice are needed? • Between which two whole numbers does your answer lie? • _______ and _______ 1) Divide each bar into 4 equal sections. 𝟏 𝟒 2) Shade in of each bar. 3) How many fourths are shaded? Solve. 9x a) b) c) 𝟐 𝟏 𝟓 𝟒 𝟏 𝟓 𝟏 𝟗 𝟓 𝟏 𝟓 It is Mrs. Faerber’s 27th birthday and her class is celebrating! There are 24 students in her class. One-fourth of the students chose to have cookies. Half chose cupcakes and two-sixths chose brownies. How many students chose cookies? a) 6 b) 1 c) 12 d) 8 I made the following tile stack: -4 yellow, 4 blue, and 8 green What fractional part of the row is green? a) b) c) 𝟖 𝟏𝟓 𝟒 𝟖 𝟏 𝟐 Sammy has a dozen marbles. Two are multi-colored. One of them is orange. Five are black, one is red, and the rest are blue. What fractional part of Sammy’s marbles are blue? Lauren has 8 dresses in her closet. One is striped. Four are polkadotted and three are silk. What fractional part of Lauren’s dresses are polka-dotted? a) one-eighth b) Three-eighths c) Four-eighths or one-half What is another way to write a) 𝟔 𝟏𝟔 b) 8 x 2 x c) 16.6 𝟏 𝟔 𝟏𝟔 𝟔 ? Solve. 10 x a) b) c) 𝟏 𝟑 𝟑 𝟏𝟎 𝟑𝟎 𝟑𝟏 𝟑 𝟏 𝟑 Scoring for Independent Work: 12-15 Correct: You have shown that you know how to multiply fractions! Review these problems again before the test! 8-11 Correct: You have a good foundation, but in order to do really well on the test you need to go over each problem before the test! 1-7 Correct: You need to spend time going over each problem and studying the ways to solve them. You need to study each problem at least 2 times each that you missed! There are 24 students eating at the picnic. One-half of the students had hot dogs. One-third as many hamburgers were eaten than hot dogs. One-half as many steaks were eaten than hamburgers. How many students ate steaks? a) 1 b) 2 c) 12 d) 4 There are 18 stars. Separate the stars into 3 𝟐 equal groups to find of 18. 𝟔 a. 3 b. 6 c. 18 𝟒 𝟓 Each bottle can hold cups of water. Tripp has 4 bottles. How many cups of water is that? a) 𝟒 𝟐𝟎 b) 𝟏𝟔 𝟓 c) 𝟓 𝟏𝟔 The tree in our backyard is 𝟏 growing 𝟐 yards each week. How 𝟖 tall will the tree be at the end of 5 weeks? Solve. 6x a) 𝟔 𝟒 b) 𝟔 𝟐𝟒 c) 𝟐𝟓 𝟒 𝟏 𝟒 I have 7 containers. Each container 𝟑 will be filled with of a cup of 𝟒 juice. How many cups of juice will be in 7 containers? Step 1: Draw a visual fraction model. Step 2: Write a number sentence for the problem. Use the model to help you solve: 𝟓 𝐱𝟔 𝟔 Answer:_____________________ Construct the fraction bar using these fraction clues: One-half is red; one-fifth is blue; three-tenths are green. Show your thinking using words, pictures, or numbers: Janice made 6 pies. One-third of them were cherry. How many pies were cherry?