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anonymous

  • one year ago

I Will Medal And Fan! I need explanation AND answer! First, rewrite 9/20 and 7/15 so that they have a common denominator. Then, use <, =, or > to order 9/20 and 7/15 9/20 = ? ; 7/15 = ? 9/20 <,>, or = 7/15

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  1. anonymous
    • one year ago
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    \[\frac{ 9 }{ 20 } = ? ; \frac{ 7 }{ 15 } = ?\]

  2. anonymous
    • one year ago
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    \[\frac{ 9 }{ 20 } <,>, or =, \frac{ 7 }{ 15 }\]

  3. mathstudent55
    • one year ago
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    Can you think of a number that you can divide by both 15 and 20 without remainder?

  4. anonymous
    • one year ago
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    5?

  5. mathstudent55
    • one year ago
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    No. You misunderstood me. You found a number that you can divide 15 by and 20 by with no remainder. 15/5 = 3, and 20/5 = 4. No remainder. That's not what we need. We need a number greater than 15 and 20. Call that number x. The number must be such that x/15 and x/20 have no remainder. Here's a way of finding such a number. Multiply 15 by 1, 2, 3, 4, 5, and write down the numbers. Then multiply 20 by 1, 2, 3, 4, 5, and write down the numbers. The smallest number in both lists is the number we need.

  6. anonymous
    • one year ago
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    60?

  7. mathstudent55
    • one year ago
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    Excellent. 60 is the least common multiple of 15 and 20. That means 60 is the smallest number that you can divide by both 15 and 20 with no remainder.

  8. mathstudent55
    • one year ago
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    We are comparing these two fractions with denominators 15 and 20. |dw:1440013066669:dw|

  9. mathstudent55
    • one year ago
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    Now that we know that 60 is the least common denominator, we need to change both fractions to a denominator of 60.

  10. mathstudent55
    • one year ago
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    To change a fraction to an equivalent fraction, we must multiply the numerator and denominator by the same number.

  11. mathstudent55
    • one year ago
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    |dw:1440013188915:dw|

  12. anonymous
    • one year ago
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    3

  13. mathstudent55
    • one year ago
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    Good.

  14. mathstudent55
    • one year ago
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    |dw:1440013291109:dw|

  15. mathstudent55
    • one year ago
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    Now we do the same to 7/15.

  16. mathstudent55
    • one year ago
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    |dw:1440013338011:dw|

  17. anonymous
    • one year ago
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    4

  18. mathstudent55
    • one year ago
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    Good.

  19. mathstudent55
    • one year ago
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    |dw:1440013457711:dw|

  20. mathstudent55
    • one year ago
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    Now that we have equivalent fractions with the same denominator, 60, we can compare them with <, =, or >.

  21. anonymous
    • one year ago
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    <?

  22. mathstudent55
    • one year ago
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    |dw:1440013525798:dw|

  23. mathstudent55
    • one year ago
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    Wow, you answer my question before I even ask.

  24. mathstudent55
    • one year ago
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    |dw:1440013619290:dw|

  25. mathstudent55
    • one year ago
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    Since we use < in the equivalent fractions below, we use < also in the original fractions.

  26. anonymous
    • one year ago
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    ty

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