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Simplifying Exponential Fractions

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Simplify this expression. Assume that all variables are positive.

X2/3y-1/4

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x1/2y-1/2

Jan 22, 2018

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for X, 2/3 is bigger than 1/2, so that 1/2 should go up to be subtracted from 2/3,

but for Y, 1/2 is bigger than 1/4, so that 1/4 should go down to be subtracted from 1/2.

with the X's on top and the Y's on the bottom you get.

X2/3-1/2

_______

Y1/2-1/4

hopefully you recall how to find common denomiators for the top.

2/3 - 1/2

4/6 - 3/6 = 1/6

logic will tell you if you have half and subtract a quarter, a quarter remains,

if not then do the common demoniators again

X1/6

_______

Y1/4

Jan 22, 2018

#1
+1

for X, 2/3 is bigger than 1/2, so that 1/2 should go up to be subtracted from 2/3,

but for Y, 1/2 is bigger than 1/4, so that 1/4 should go down to be subtracted from 1/2.

with the X's on top and the Y's on the bottom you get.

X2/3-1/2

_______

Y1/2-1/4

hopefully you recall how to find common denomiators for the top.

2/3 - 1/2

4/6 - 3/6 = 1/6

logic will tell you if you have half and subtract a quarter, a quarter remains,

if not then do the common demoniators again

X1/6

_______

Y1/4

Guest Jan 22, 2018