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Math Estimations with Fractions and Mixed Numbers

Practice estimating sums, differences, products, and quotients of fractions and mixed numbers using compatible numbers and rounding strategies.

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Math Estimations with Fractions and Mixed Numbers

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  1. Transparency 1 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 1-7b Objective Estimate sums, differences, products, and quotients of fractions and mixed numbers

  4. Example 1-7b Vocabulary Compatible numbers Numbers that are easy to compute mentally

  5. Example 1-7b Math Symbols Approximately equal to 

  6. Lesson 1 Contents Example 1Estimate with Mixed Numbers Example 2Estimate with Mixed Numbers Example 3Estimate with Fractions Example 4Estimate with Fractions Example 5Estimate with Fractions Example 6Use Compatible Numbers Example 7Use Compatible Numbers 1/7

  7. Estimate Example 1-1a Write problem Round first fraction to 5 Round second fraction to 4 Add 5 5 + 4 9 Answer:  9 1/7

  8. Example 1-1b Estimate Answer:  8 1/7

  9. Estimate Example 1-2a Write problem  Round first fraction to 8  Round second fraction to 2 Multiply 8 8  2 Answer:  16 2/7

  10. Estimate Example 1-2b  Answer:  15 2/7

  11. Estimate Example 1-3a Write problem Since fractions are less than 1, round to nearest half Round first fraction to Round second fraction to 1 Add Answer:  1 3/7

  12. Estimate Example 1-3b Answer: 1 3/7

  13. Estimate Answer:  Example 1-4a Write problem Since fractions are less than 1, round to nearest half Round first fraction to Round second fraction to 0 Be cautious and do not round to 0 often, only when appropriate Subtract 4/7

  14. Estimate Example 1-4b Answer: 1 4/7

  15. Estimate Example 1-5a Write problem Since fractions are less than 1, round to nearest half Round first fraction to 1 Round second fraction to 2 Divide Answer:  2 5/7

  16. Estimate Answer: Example 1-5b 5/7

  17. Estimate Example 1-6a Write problem  To have a more accurate answer when rounding, sometimes look for a compatible number with the denominator   20 Round 21 to a number compatible with 4 like 20 5 5  3 Divide 20 by denominator of 4 15 Multiply by numerator of 3 Answer:  15 6/7

  18. Estimate Example 1-6b  Answer:  12 6/7

  19. Estimate Example 1-7a Write problem 16 16  4 4 Answer:  4 7/7

  20. Estimate Example 1-7b * Answer:  5 7/7

  21. End of Lesson 1 Assignment

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