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anonymous

  • one year ago

(Will give medal to the person who helps) Find the ratio of x to y. ~ x/5 = 2/3 = 5/y ~ 1.) 2/3 2.) 4/9 3.) 1

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  1. mathstudent55
    • one year ago
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    Use x/5 = 2/3 to solve for x. It's a proportion, so cross multiply.

  2. anonymous
    • one year ago
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    Alright I tried it , but I came out with decimal. Is that ok or ?

  3. mathstudent55
    • one year ago
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    |dw:1439168515677:dw|

  4. mathstudent55
    • one year ago
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    It's better to leave it as a fraction like I did above.

  5. anonymous
    • one year ago
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    wait nvm I looked at it wrong

  6. mathstudent55
    • one year ago
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    Do you see what I did to solve for x? I used the first two fractions as a proportion, and solved the proportion for x. Are you ok so far?

  7. anonymous
    • one year ago
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    yea I am ~

  8. mathstudent55
    • one year ago
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    Great. Now take the second and third fractions, and use them as a proportion and solve for y.

  9. mathstudent55
    • one year ago
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    Now cross multiply and solve the proportion below for y. |dw:1439168686577:dw|

  10. anonymous
    • one year ago
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    2y = 15

  11. anonymous
    • one year ago
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    right ??

  12. mathstudent55
    • one year ago
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    good so far Now solve for y

  13. mathstudent55
    • one year ago
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    Leave the result as a fraction.

  14. anonymous
    • one year ago
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    \[15 \div 2 ?? \]

  15. mathstudent55
    • one year ago
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    |dw:1439168922451:dw|

  16. mathstudent55
    • one year ago
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    Yes, 15 divided by 2 is simply the fraction 15/2.

  17. mathstudent55
    • one year ago
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    Now we want the ratio of x to y. The ratio of x to y can be written as x:y, and also as the fraction \(\dfrac{x}{y} \)

  18. anonymous
    • one year ago
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    do we cross multiply them now ? the x y ?

  19. mathstudent55
    • one year ago
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    Since we know what x and y are equal to, we write a ratio using those two numbers: |dw:1439169044897:dw|

  20. mathstudent55
    • one year ago
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    |dw:1439169083196:dw|

  21. anonymous
    • one year ago
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    thats none of my choices ~

  22. mathstudent55
    • one year ago
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    We haven't finished yet. We now have a complex fraction, a fraction of fractions. We need to simplify it. Remember that a fraction means a division. |dw:1439169173036:dw|

  23. mathstudent55
    • one year ago
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    To divide fractions, we multiply the first fraction by the reciprocal of the second one. Reciprocal is the math term that means to flip the fraction.

  24. mathstudent55
    • one year ago
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    |dw:1439169248633:dw|

  25. mathstudent55
    • one year ago
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    |dw:1439169310000:dw|

  26. anonymous
    • one year ago
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    ohhh I see ! ~ :)

  27. mathstudent55
    • one year ago
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    Great!

  28. anonymous
    • one year ago
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    i understand now ! thanks !

  29. mathstudent55
    • one year ago
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    You're welcome.

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