Adding Algebraic Fractions with Variables by: Karin
Hi Charlotte,
I'm sorry to just be getting back to you, but I've been out of town.
You have a great question! You first want to remove the variables from the denominator. Since there is an x in the denominator of both fractions, we can multiply both sides by x.
x(1/x+2/3x) = 4(x)
Distribute the x and we get:
x/x+ 2x/3x = 4x
The x in the numerator and denominator or each fraction simplify to 1 (or cancel out). Then you have:
1+2/3 = 4x
Add 1+2/3 and you get 5/3.
5/3 = 4x
To isolate x, we need to divide by 4 on both sides.
(5/3) / 4 = 4x/4
When you divide fractions, you actually multiply by the reciprocal, so we have:
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