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NAME _________________KEY_______________________ HOMEROOM ____COLLINS_____ DATE __________________________ PARENT SIGNATURE & DATE (BONUS PTS.) ________________________________________________________________ UNIT 5: NUMBER & OPERATIONS - FRACTIONS STUDY GUIDE Directions: Fill in the blanks or bubble in the circle with the correct answer to each question. Feel free to use a scrap sheet of paper to help you work out the problems. These problems are similar to what you will see on your test. 1. Jonah made the figure below. Which fraction is equivalent to the shaded part of Jonah’s figure. O O O O 6 x 2 = 12 10 x 2 20 5/10 2/5 3/10 12/20 2. Natalie ate 3/8 of an apple. Later, she ate another 3/8 of the apple. What fraction of the apple did she eat in all? O O O O 3. Multiply. O O O O 3 + 3 = 6 8 8 8 2/8 6/8 6/16 8/8 4 x 3/5 7/5 7/9 12/20 12/5 4=4 1 4 x 3 = 12 1 5 5 4. Which symbol makes this sentence true? 7/12 O 3/4 O O O O > < = + 7/12 3/4 8/100 2/10 8/10 2/100 O O O O 0.44 0.30 0.44 0.30 0.34 0.44 0.30 0.34 0.30 0.34 0.34 0.44 comparing least to greatest, then compare the place value numbers from left to right. 7. Jamal did 2/8 of his chores before lunch. He did another 3/8 of his chores after lunch. What fraction of his chores did he finish? O O O O 4/8 5/8 4/12 5/16 2 + 3 = 5 8 8 8 8. Jasmine ordered 3/6 pounds of American cheese and five-sixth pound of cheddar cheese. How much more cheddar cheese than American cheese did Jasmine order? O O O O 9. Multiply. O O O O 5 - 3 = 2 6 6 6 1/3 pound ½ pound ¾ pound 1 pound 5/8 3 1/5 1 3/5 1 1/5 Simplify 2 ÷ 2 = 1 6 ÷ 2 3 4 x 2/5 4=4 1 4 x 2 = 8 1 5 5 8 ÷ 5 = 1 3/5 10. Which sentence is true? 5. Rod’s puppy ate 0.8 of a can of dog food. What fraction of the food did the puppy eat? O O O O 6. Which lists the decimals from least to greatest? Since you are 0.8 O O O O 1/8 > 1/4 (1/8 is less than 1/4) 1/2 < 2/4 (1/2 equals 2/4) 3/8 > 1/2 (3/8 is less than 1/2) 5/8 < 3/4 5/8 3/4 ones tenths 11. Which decimal makes the sentence true? 0.28 < O O O O 0.03 0.27 0.28 0.30 12. Add. O O O O 3 2/5 + 3 2/5 O O O O +3 2 5 6 4 5 4 5/6 5 2/5 6 2/5 6 4/5 17/24 3 1/4 17/12 Simplify 4 3/4 3 3/4 3 1/2 1 1/2 O O O O 1.42 10.24 1.24 12.04 One whole flat shaded in equals 1. All you then need to do is count the number of little squares that are shaded to get the decimal part of the answer. There are 24 squares shaded in on the second flat. (1 whole and 24 hundredths) 19. Which decimal represents the shaded part of the grids? 10 - 7 = 3 12 12 12 3 ÷ 3 = 1 12 ÷ 3 4 14. What mixed number goes in the box to make the sentence true? 2 5 8 - 1 1/8 = 2 5/8 O O O O 2/8 (2/8 can be simplified to 1/4. Divide by 2.) 5/8 4/16 (4/16 can be simplified to 1/4. Divide by 4.) 3/12 (3/12 can be simplified to 1/4. Divide by 3.) 18. Which decimal represents the shaded part of the grids? 3 2 5 13. Tim had 10/12 roll of green streamer for a bulletin board. He used 7/12 roll for the border. What fraction of the roll of green streamer does Tim have left? O O O O 17. Which fraction is not equivalent to ¼? Add the 2 numbers to get the answer. 6 ÷ 2 = 3 Simplify 8 ÷ 2 4 +1 1 8 3 6=3 8 4 O O O O 1.21 1.71 10.79 1.79 One whole flat shaded in equals 1. All you then need to do is count the number of little squares that are shaded to get the decimal part of the answer. There are 79 squares shaded in on the second flat. (1 whole and 79 hundredths) 20. Eric has 1/4 pound of fudge. Which shows an equivalent fraction to 1/4? 15. Which sum of fractions shows 0.38? O O O O 3/10 + 8/10 3/10 + 8/100 3/100 + 8/100 3/100 + 8/10 0.38 5/10 0.50 5/100 0.5 = 0.5 = 0.5 = 0.05 = 0.5 O 12 = 3 16 4 O 16 = 1 16 tenths hundredths 16. Which has a different value than all the others? O O O O O 8 = 1 16 2 O 4 = 1 16 4 SHORT RESPONSE QUESTION Directions: Read all parts of the short response question before you begin. Write your answers to the short response question in the space provided. For each short response question, use the grid provided to create any required charts or graphs. If a question does not require a chart or graph, write your written response over the grid lines. Mr. Caudill bought 4 ¼ feet-long wooden board. He wants to cut a piece that is 2 ¾ feet from the board. A. How long will the board be that Mr. Caudill has left? Show your work. B. Show your answer for Part A in simplest form. 21. 3 A. 4 1 + 4 = 5 4 4 4 - 2 3 4 1 2 4 feet Mr. Caudill's board will be 1 2/4 feet long or 1 1/2 feet long if you simplify the fraction. B. 1 2 ÷ 2 = 1 4 ÷ 2 2 = 1 1/2 feet OPEN RESPONSE QUESTION Directions: Read all parts of each open response question before you begin. Write your answers to the open response questions in the space provided. For each open response question, use the grid provided to create any required charts or graphs. If a question does not require a chart or graph, write your written response over the grid lines. Collin bought 5/6 pound of sliced turkey and 9/6 pounds of sliced ham. A. How many pounds of meat did he buy in all? Show your work. B. Collin also bought 2 1/6 pounds of fish. How many more pounds of fish did he buy than the sliced turkey? Show your work. 22. A. 5 + 9 = 14 = 2 2 6 6 6 6 14 ÷ 6 = 2 R2 Simplified 2 ÷ 2 = 1 6 ÷ 2 3 Simplified = 2 1 3 pounds Collin bought 2 2/6 or 2 1/3 pounds of meat. 1 B. 2 1 + 6 = 7 6 6 6 - 5 Simplified 2 ÷ 2 = 1 6 6 ÷ 2 3 1 2 1 1 6 or 3 more pounds of fish. 1 1 3 more pounds of fish is the simplified answer. Collin bought 1 2/6 or 1 1/3 more pounds of fish than sliced turkey.