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McGraw Hill My Math Grade 4 Chapter 8 Lesson 3 Answer Key Model Equivalent Fractions
All the solutions provided in McGraw Hill My Math Grade 4 Answer Key PDF Chapter 8 Lesson 3 Model Equivalent Fractions will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 8 Lesson 3 Model Equivalent Fractions
The top number on a fraction is the numerator, The bottom number on a fraction is the denominator. Fractions that represent the same part of a number are equivalent fractions.
2. Find a fraction equivalent to \(\frac{1}{3}\). Place \(\frac{1}{6}\) – tiles below the \(\frac{1}{3}\) – tile to equal the length of the \(\frac{1}{3}\) – tile. How many \(\frac{1}{6}\) – tiles did you place? So, \(\frac{1}{3}\) and \(\frac{2}{6}\) are equivalent fractions.
Explanation: Fraction given: \(\frac{1}{3}\) \(\frac{1}{3}\) = \(\frac{1}{3}\) × \(\frac{4}{4}\) = \(\frac{4}{12}\). \(\frac{1}{3}\) = \(\frac{1}{3}\) × \(\frac{2}{2}\) = \(\frac{2}{6}\)
Try It Generate two fractions that are equivalent to \(\frac{1}{4}\). 1. The first number line is divided into fourths. Plot \(\frac{1}{4}\) on the number line.
Question 2. Mathematical PRACTICE Draw a Conclusion, determine whether \(\frac{1}{2}\) and \(\frac{3}{6}\) are equivalent fractions. Explain. Answer: Both fractions \(\frac{1}{2}\) and \(\frac{3}{6}\) are equivalent fractions.
Explanation: \(\frac{1}{2}\) = \(\frac{1}{2}\) \(\frac{3}{6}\) = \(\frac{3}{6}\) ÷ \(\frac{3}{3}\) = \(\frac{1}{2}\)
Practice It Recognize whether the fractions are equivalent. Write yes or no. Question 3. \(\frac{2}{4}\) and \(\frac{6}{12}\) Answer: Yes, \(\frac{2}{4}\) and \(\frac{6}{12}\) both are equivalent fractions.
Explanation: \(\frac{2}{4}\) = \(\frac{2}{4}\) ÷ \(\frac{2}{2}\) = \(\frac{1}{2}\) \(\frac{6}{12}\) = \(\frac{6{12}\) ÷ \(\frac{6}{6}\) = \(\frac{1}{2}\)
Question 4. \(\frac{6}{8}\) and \(\frac{5}{10}\) Answer: No, \(\frac{6}{8}\) and \(\frac{5}{10}\) both are not equivalent fractions.
Explanation: \(\frac{6}{8}\) = \(\frac{6}{8}\) ÷ \(\frac{2}{2}\) = \(\frac{3}{4}\) \(\frac{5}{10}\) = \(\frac{5}{10}\) ÷ \(\frac{5}{5}\) = \(\frac{1}{2}\)
Question 5. \(\frac{2}{3}\) and \(\frac{3}{5}\) Answer: No, \(\frac{2}{3}\) and \(\frac{3}{5}\) both are not equivalent fractions.
Explanation: \(\frac{2}{3}\) = \(\frac{2}{3}\) \(\frac{3}{5}\) = \(\frac{2}{3}\)
Question 6. \(\frac{9}{12}\) and \(\frac{3}{4}\) Answer: Yes, \(\frac{9}{12}\) and \(\frac{3}{4}\) both are equivalent fractions.
Explanation: \(\frac{9}{12}\) = \(\frac{9}{12}\) ÷ \(\frac{3}{3}\) = \(\frac{3}{4}\) \(\frac{3}{4}\) = \(\frac{3}{4}\)
Question 7. \(\frac{4}{6}\) and \(\frac{8}{12}\) Answer: Yes, \(\frac{4}{6}\) and \(\frac{8}{12}\) both are equivalent fractions.
Explanation: \(\frac{4}{6}\) = \(\frac{4}{6}\) ÷ \(\frac{2}{2}\) = \(\frac{2}{3}\) \(\frac{8}{12}\) = \(\frac{8}{12}\) ÷ \(\frac{4}{4}\) = \(\frac{2}{3}\)
Question 8. \(\frac{2}{3}\) and \(\frac{6}{10}\) Answer: No, \(\frac{2}{3}\) and \(\frac{6}{10}\) both are equivalent fractions.
Explanation: \(\frac{2}{3}\) = \(\frac{2}{3}\) \(\frac{6}{10}\) = \(\frac{6}{10}\) ÷ \(\frac{2}{2}\) = \(\frac{3}{5}\)
Generate two equivalent fractions for each fraction. Question 9. \(\frac{2}{4}\) Answer: Two equivalent fractions of \(\frac{2}{4}\) are \(\frac{4}{8}\) and \(\frac{12}{24}\)
Explanation: \(\frac{2}{4}\) = \(\frac{2}{4}\) × \(\frac{2}{2}\) = \(\frac{4}{8}\) \(\frac{2}{4}\) = \(\frac{2}{4}\) × \(\frac{6}{6}\) = \(\frac{12}{24}\)
Question 10. \(\frac{2}{6}\) Answer: Two equivalent fractions of \(\frac{2}{6}\) are \(\frac{4}{12}\) and \(\frac{12}{36}\)
Explanation: \(\frac{2}{6}\) = \(\frac{2}{6}\)× \(\frac{2}{2}\) = \(\frac{4}{12}\) \(\frac{2}{6}\) = \(\frac{2}{6}\) × \(\frac{6}{6}\) = \(\frac{12}{36}\)
Question 11. \(\frac{4}{8}\) Answer: Two equivalent fractions of \(\frac{4}{8}\) are \(\frac{16}{32}\) and \(\frac{32}{64}\)
Explanation: \(\frac{4}{8}\) = \(\frac{4}{8}\) × \(\frac{4}{4}\) = \(\frac{16}{32}\) \(\frac{4}{8}\) = \(\frac{4}{8}\)× \(\frac{8}{8}\) = \(\frac{32}{64}\)
Question 12. \(\frac{5}{10}\) Answer: Two equivalent fractions of \(\frac{5}{10}\) are \(\frac{10}{20}\) and \(\frac{55}{110}\)
Explanation: \(\frac{5}{10}\) = \(\frac{5}{10}\) × \(\frac{2}{2}\) = \(\frac{10}{20}\) \(\frac{5}{10}\) = \(\frac{5}{10}\) × \(\frac{11}{11}\) = \(\frac{55}{110}\)
Question 13. \(\frac{1}{3}\) Answer: Two equivalent fractions of \(\frac{1}{3}\) are \(\frac{5}{15}\) and \(\frac{3}{9}\)
Explanation: \(\frac{1}{3}\) = \(\frac{1}{3}\)× \(\frac{5}{5}\) = \(\frac{5}{15}\) \(\frac{1}{3}\) = \(\frac{1}{3}\)× \(\frac{3}{3}\) = \(\frac{3}{9}\)
Question 14. \(\frac{2}{3}\) Answer: Two equivalent fractions of \(\frac{2}{3}\) are \(\frac{14}{21}\) and \(\frac{12}{18}\)
Explanation: \(\frac{2}{3}\) = \(\frac{2}{3}\) × \(\frac{7}{7}\) = \(\frac{14}{21}\) \(\frac{2}{3}\) = \(\frac{2}{3}\) × \(\frac{6}{6}\) = \(\frac{12}{18}\)
Apply It Question 15. Mathematical PRACTICE Model Math There were 10 baked goods in a basket. Four of them were sold. Write a fraction to show the part of the baked goods that were not sold. Then write an equivalent fraction to this number. Answer: Fraction to show the part of the baked goods that were not sold = \(\frac{2}{5}\)
Explanation: Number of baked goods in a basket = 10. Number of baked goods in a basket sold = 4. Fraction to show the part of the baked goods that were not sold = Number of baked goods in a basket sold ÷ Number of baked goods in a basket = 4 ÷ 10 = 2 ÷ 5 or \(\frac{2}{5}\)
Question 16. Two-thirds of a jar of peanut butter has been used. Write an equivalent fraction. Answer: Equivalent fraction of \(\frac{2}{3}\) = \(\frac{10}{15}\)
Explanation: Two-thirds of a jar of peanut butter has been used. => \(\frac{2}{3}\) = \(\frac{2}{3}\) × \(\frac{5}{5}\) = \(\frac{10}{15}\)
Explanation: Fraction of the marbles are red = \(\frac{3}{10}\) Fraction of the marbles are blue = \(\frac{5}{10}\) Fraction of the marbles are green = \(\frac{2}{10}\) Simplest form: \(\frac{3}{10}\) = \(\frac{3}{10}\) \(\frac{5}{10}\) = \(\frac{5}{10}\) ÷ \(\frac{5}{5}\) = \(\frac{1}{2}\) \(\frac{2}{10}\) = \(\frac{2}{10}\) ÷ \(\frac{2}{2}\) = \(\frac{1}{5}\) \(\frac{4}{8}\) = \(\frac{4}{8}\) ÷ \(\frac{4}{4}\) = \(\frac{1}{2}\)
Question 18. Mathematical PRACTICE Use Number Sense Daria used fraction tiles to show that \(\frac{3}{5}\) is equivalent to \(\frac{6}{10}\). Compare the number and size of fraction tiles needed to model each fraction. Answer: \(\frac{3}{5}\) is equivalent to \(\frac{6}{10}\) both are size are same.
Explanation: Given: \(\frac{3}{5}\) is equivalent to \(\frac{6}{10}\). \(\frac{3}{5}\) \(\frac{6}{10}\) = \(\frac{6}{10}\) ÷ \(\frac{2}{2}\) = \(\frac{3}{5}\)
Explanation: Equation: \(\frac{2}{??}\) × \(\frac{3}{3}\) = \(\frac{??}{6}\) => 6 × 2 = 12. \(\frac{2}{12}\) = \(\frac{1}{6}\)
Write About It Question 20. Write a real-world example of equivalent fractions. Answer: A real-world example of equivalent fractions is a piece of cake.
Explanation: I have a cake, cut it into two equal pieces, and eat one of them, you will have eaten half the cake. If I cut a cake into eight equal pieces and eat four of them, I will still have eaten half the cake. These are equivalent fractions.
McGraw Hill My Math Grade 4 Chapter 8 Lesson 3 My Homework Answer Key
Practice Recognize whether the fractions are equivalent. Write yes or no. Question 1. \(\frac{3}{5}\) and \(\frac{6}{8}\) Answer: Yes, \(\frac{3}{5}\) and \(\frac{6}{8}\) both are equivalent fractions.
Explanation: \(\frac{3}{5}\) = \(\frac{3}{5}\) \(\frac{6}{8}\) = \(\frac{6}{8}\) ÷ \(\frac{2}{2}\) = \(\frac{3}{5}\)
Question 2. \(\frac{4}{5}\) and \(\frac{5}{6}\) Answer: No \(\frac{4}{5}\) and \(\frac{5}{6}\) both are not equivalent fractions.
Explanation: \(\frac{4}{5}\) = \(\frac{4}{5}\) \(\frac{5}{6}\) = \(\frac{5}{6}\)
Question 3. \(\frac{2}{4}\) and \(\frac{6}{12}\) Answer: Yes \(\frac{2}{4}\) and \(\frac{6}{12}\) both are equivalent fractions.
Explanation: \(\frac{2}{4}\) = \(\frac{2}{4}\) ÷ \(\frac{2}{2}\) = \(\frac{1}{2}\) \(\frac{6}{12}\) = \(\frac{6}{12}\) ÷ \(\frac{6}{6}\) = \(\frac{1}{2}\)
Question 4. \(\frac{2}{3}\) and \(\frac{4}{6}\) Answer: Yes \(\frac{2}{3}\) and \(\frac{4}{6}\) both are equivalent fractions.
Explanation: \(\frac{2}{3}\) = \(\frac{2}{3}\) \(\frac{4}{6}\) = \(\frac{4}{6}\) ÷ \(\frac{2}{2}\) = \(\frac{2}{3}\)
Question 5. \(\frac{8}{12}\) and \(\frac{4}{6}\) Answer: Yes \(\frac{8}{12}\) and \(\frac{4}{6}\) both are equivalent fractions.
Explanation: \(\frac{8}{12}\) = \(\frac{8}{12}\) ÷ \(\frac{4}{4}\) = \(\frac{2}{3}\) \(\frac{4}{6}\) = \(\frac{4}{6}\) ÷ \(\frac{2}{2}\) = \(\frac{2}{3}\)
Question 6. \(\frac{5}{6}\) and \(\frac{9}{10}\) Answer: No \(\frac{5}{6}\) and \(\frac{9}{10}\) both are not equivalent fractions.
Explanation: \(\frac{5}{6}\) = \(\frac{5}{6}\) \(\frac{9}{10}\) = \(\frac{9}{10}\)
Generate two equivalent fractions for each fraction. Question 7. \(\frac{1}{3}\) Answer: Two equivalent fractions of \(\frac{1}{3}\) are \(\frac{7}{21}\) and \(\frac{3}{9}\)
Explanation: \(\frac{1}{3}\) = \(\frac{1}{3}\) × \(\frac{7}{7}\) = \(\frac{7}{21}\) \(\frac{1}{3}\) = \(\frac{1}{3}\) × \(\frac{3}{3}\) = \(\frac{3}{9}\)
Question 8. \(\frac{8}{12}\) Answer: Two equivalent fractions of \(\frac{8}{12}\) are \(\frac{16}{24}\) and \(\frac{24}{36}\)
Explanation: \(\frac{8}{12}\) = \(\frac{8}{12}\) × \(\frac{2}{2}\) = \(\frac{16}{24}\) \(\frac{8}{12}\) = \(\frac{8}{12}\) × \(\frac{3}{3}\) = \(\frac{24}{36}\)
Question 9. \(\frac{3}{4}\) Answer: Two equivalent fractions of \(\frac{3}{4}\) are \(\frac{15}{20}\) and \(\frac{6}{8}\)
Explanation: \(\frac{3}{4}\) = \(\frac{3}{4}\) × \(\frac{5}{5}\) = \(\frac{15}{20}\) \(\frac{3}{4}\) = \(\frac{3}{4}\) × \(\frac{2}{2}\) = \(\frac{6}{8}\)
Problem Solving Question 10. Mathematical PRACTICE Justify Conclusions Francie lives \(\frac{1}{5}\) mile from the school. Jake lives \(\frac{2}{10}\) mile from the school. Do they live the same distance from the school? Explain. Answer: Yes, they live the same distance from the school because \(\frac{1}{5}\) is the simplest form of \(\frac{2}{10}\).
Explanation: Number of miles Francie lives from the school = \(\frac{1}{5}\) Number of miles Jake lives from the school = \(\frac{2}{10}\) Simplest form: \(\frac{1}{5}\) = \(\frac{1}{5}\) \(\frac{2}{10}\) = \(\frac{2}{10}\) ÷ \(\frac{2}{2}\) = \(\frac{1}{5}\)
Explanation: Numerator = the number above the line in a fraction showing how many of the parts indicated by the denominator are taken. The denominator = The numeric value below the line of a fraction is called the denominator. Equivalent fractions = They are fractions that represent the same value, even though they look different.
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Explain how knowing 2 × 7 can help you find 4 × 7. Answer: Given that, 2 x 7 Multiplication of 2 x 7 is 14. 2 x 7 = 14. Product is the 14. Double the product is 14 + 14 = 28. Add 2x 7 + 2 x 7 then you get 4 x 7. 4 x 7 = 28. Therefore 2 x 7 is helped to find the 4 x 7. Guided Practice. Question 1. Double a known fact to find 6 × 4.
McGraw Hill My Math Grade 4 Chapter 14 Lesson 4 My Homework Answer Key. Practice. Write the measure of each angle in degrees and as a fraction of a full turn. Question 1. ____________°, ___________ turn. Answer: 360°, 1 turn. The above figure represents an angle of 360°and 1 turn. The center of the circle is treated as an endpoint of two ...
McGraw Hill My Math Grade 4 Chapter 2 Lesson 4 My Homework Answer Key. Practice. Estimate. Round each number to the nearest hundred. Question 1. Answer: 11,500. Explanation: Question 2. Answer: 55,00. Explanation: Estimate. Round each number to the nearest thousand. Question 3. $5,486 + $8,602
The McGraw-Hill My Math Learning Solution provides an easy and flexible way to diagnose and fill gaps in understanding so that all students can meet grade-level expectations - and accelerate beyond: . Strong, equitable core instruction with actionable data Best-in-class resources and targeted instructional strategies Personalized, student-driven learning
the area of the game board, not including the hole. Plan. I can work backward to solve the problem. Solve. Find the area of the game board. (Hint: Area = length × width) 4 × 2 = 8 square feet Subtract the area of the hole from the area of the game board. 8 - 1 = 7 square feet So, the game board that Peyton and his friends built has an area of ...
4. ° , turn ° , turn Homework Helper Classify the angle on the inside of the goalpost as right, acute, or obtuse. ... square and measures 90°. So, it is a right angle. Need help? connectED.mcgraw-hill.com Lesson 4 Classify Angles Lesson 4 My Homework 897 8897_898_C14_L04_116195.indd 89797_898_C14_L04_116195.indd 897 111/2/11 7:29 AM1/2/11 7: ...
Go Math! Practice Book (TE), G5. 31 51 41 Name Add and Subtract Mixed Numbers Find the sum or difference. Write your answer in simplest form. Lesson 6.6 COMMON CORE STANDARD CC.5.NF.1 Use equivalent fractions as a strategy to add and subtract fractions. 4.
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LESSON 6.4 For use with pages 381—387 Use the diagram to complete the statement. AB BC CA 12 D ate c 16 12 B ... a Jif 450 L 850 Geometry Chapter 6 Practice Workbook 850 10. CA 112 . Name LESSON 6.4 11. Practice continued For use with pages 381—387 12. 500 Date G Q 450 13. Multiple Choice In the diagram at the right, find the length of BC ...
My Homework Homework Helper Need help? connectED.mcgraw-hill.com Find 356 -298 . Step 1 Rewrite. Place the greater number on top. Step 2 Subtract. Regroup if necessary. eHelp c Rewrite Three-Digit Subtraction My Homework Lesson 7 Practice Rewrite the problem. Subtract. 1. 724 -235-2. 616 -337-3. 374 -286-4 . 875 -596-5. 945 -387-6. 435 -294--5 ...
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All the solutions provided in McGraw Hill My Math Grade 4 Answer Key PDF Chapter 8 Lesson 3 Model Equivalent Fractions will give you a clear idea of the concepts. McGraw-Hill My Math Grade 4 Answer Key Chapter 8 Lesson 3 Model Equivalent Fractions. The top number on a fraction is the numerator, The bottom number on a fraction is the denominator.
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