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jessie13

  • one year ago

Will Medal Answer ASAP!!!!! 1: What is the GCF of the numerator and denominator in the following fraction? 21m^2n/28mn^2 7m^2n^2 7mn 21m^3n^3 mn

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  1. anonymous
    • one year ago
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    so whats the question?

  2. jessie13
    • one year ago
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    im putting it up right now!

  3. anonymous
    • one year ago
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    alrighty then.

  4. jessie13
    • one year ago
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    @paki

  5. jessie13
    • one year ago
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    @geny55 @Photon336

  6. Photon336
    • one year ago
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    So this is what we have right @jessie13 \[\frac{ 21m ^{2}n }{ 28mn ^{2} }\]

  7. Photon336
    • one year ago
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    so greatest common factor, is the largest number that can go into both the numerator and denominator

  8. jessie13
    • one year ago
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    1 dont get it!

  9. Photon336
    • one year ago
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    Let's break this up into two parts

  10. Photon336
    • one year ago
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    \[\frac{ 21 }{ 28 } * (\frac{ m ^{2}n }{ mn ^{2} })\]

  11. Photon336
    • one year ago
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    do you know how to subtract powers?

  12. Photon336
    • one year ago
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    whenever we divide exponents we subtract the exponents. so we will do that first \[\frac{ m ^{2}n}{ mn ^{2} } = Numerator[ m ^{2}-m ^{1} = m] denominator [n ^{1}-n ^{2}] = n ^{-1}\] we simplify the variables first. \[\frac{ m }{ n }\]

  13. Photon336
    • one year ago
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    @jessie13 so now this is what we have we need to find the greatest common factor so it has to be the largest number that goes into both 21 and 28 \[\frac{ 21 }{ 28 } *(\frac{ m }{ n })\]

  14. jessie13
    • one year ago
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    wait the gcf is 7

  15. Photon336
    • one year ago
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    @jessie13 yep :) here's why. and that's why I told you to do it that way yeah so |dw:1444067072198:dw|

  16. Photon336
    • one year ago
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    let me rewrite this

  17. jessie13
    • one year ago
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    k

  18. Photon336
    • one year ago
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    \[\frac{ 3 m}{ 4 n} * *\frac{ 7 mn}{ 7 mn } = \frac{ 21 }{ 28 } \frac{ m*m = m ^{2}n }{n*n = n ^{2}m }\]

  19. Photon336
    • one year ago
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    \[(7mn) = GCF\] because if we multiply this by 3m/4n we get what we started with @jessie13 look at this tell me if this makes sense to you

  20. jessie13
    • one year ago
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    okay!

  21. jessie13
    • one year ago
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    ya it makes more sense thanks!

  22. Photon336
    • one year ago
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    can you show me why this makes sense @jessie13 ?

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