I was doing a probability tree and you have to take the probability tree like this (1/52)*(1/51)+(1/52)(1/51) = 7.54147813E^-4
They want it in integer or fraction form. They tell me the answer is 1/1326, and when I do that I get my answer 7.54147813E^-4
However, I have no idea how to arrive at 1/1326. Math--Frac didn't work on my ti83 calculator neither did math--dec
This is so dumb because I know how to everything, but this last part is tripping me up.
Here's your problem. The calculation on the left is NOT equal to the number on the right. . If you want exact answers, do the exact arithmetic from the start- do not convert to decimal form and round off.
They want it in integer or fraction form. They tell me the answer is 1/1326, and when I do that I get my answer 7.54147813E^-4
However, I have no idea how to arrive at 1/1326. Math--Frac didn't work on my ti83 calculator neither did math--dec
This is so dumb because I know how to everything, but this last part is tripping me up.
I don't know what you are trying to say here. I don't know what "long arithmetic" is but this really involves only multiplying integers. There is no "52/2" in this. Are you referring to ? I don't understand what you mean by "that's the only number that can go into 52". By "only number" do you mean "2"? No, it certainly is not the "only number" that divides evenly into 52. 4 divides into 52 13 times, 13 divides into 52 4 times, and 26 divides into 52 twice.
Huh, you do not need long division.
$\dfrac{1}{52 * 51} + \dfrac{1}{52 * 51} = \dfrac{1}{2652} + \dfrac{1}{2652} = \dfrac{2}{2652} = \dfrac{2}{2 * 1326} = \dfrac{1}{1326} \approx 0.000,754,149$
Remember calculators usually give approximate answers when there is division involved.
No. You are wrong.
$\dfrac{2}{52 * 52} = \dfrac{2}{2 * 26 * 52} = \dfrac{1}{26 * 52} = \dfrac{1}{1352}.$
The fact that 51 is not evenly divisible by 2 is irrelevant.
$\dfrac{1}{52 * 51} + \dfrac{1}{52 * 51} = \dfrac{2}{52 * 51} = \dfrac{2}{2 * 26 * 51} = \dfrac{1}{26 * 51} = \dfrac{1}{1326}.$
This is third or fourth grade arithmetic.
Please remember what I said about calculators. They give APPROXIMATE answers for many problems, including many division problems. If you want an exact answer, you cannot rely on a calculator.