7th grade math

how do I solve for this:

If 5/6 is divided by a certain fraction, a/b, the product is 1/4. What is the fraction a/b?

Ans: (5/6)/(a/b) = 1/4
= do i need to divide both sides by 1/4 to get (5/6)/(1/4) = (5/6)x(4/1) = 20/6
= need to somehow get a/b by itself
not sure what to do...

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asked by Alexis
  1. let x be that fraction a/b

    so (5/6)/x = 1/4
    then by cross-multiplying
    x = 4(5/6) = 20/6 = 10/3
    so your fraction a/b = 10/3

    check:
    (5/6) รท (10/3)
    = (5/6)(3/10)
    = 15/60
    = 1/4
    My answer is correct
    You should always check your answer in similar ways if possible

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    posted by Reiny

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