### Brain Teasers

# x/z

If x/y = 4/7 and z/y = 3/2, then x/z = ? Give the answer as a fraction.

### Answer

8/21Just take x/y * y/z = x/z. (the y's cancel each other)

Therefore 4/7 * 2/3 = 8/21.

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## Comments

This is a very clever teaser. The answer was just below my nose but confusing to solve with the lack of information.

rather easy... the multiplying like that is not necessary though.. just find least common denominator...which is fourteen and use the x and z from those...

I got lost in that I tried just substituting the numbers for x & z, but came up with 4/3. Oh well, I tried.

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