Question 732931: why y(1)/(100) +x(1)/(60)≤2400 can be written as
5x+3y <= 720000
you already give the answer that is
"Lowest common denominator is 300. Other than that, a general law of inequalities is that if , and if , then . The left and right members of your first inequalites can be multiplied by 300 and you obtain an equivalent inequality, which is your second mentioned inequality."
but i can't understand. how to determine the lowest common denominator? i hope you can help me
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
Lowest common denominator means: What is the smallest number that is evenly divisible by both of the denominators?
100 evenly divides 100, 200, 300, 400, 500...and so on.
60 evenly divides 60, 120, 180, 240, 300 Ah-ha!! Both of them evenly divide 300, and that is the lowest common denominator. Actually you don't technically need the lowest common denominator, you just need a common denominator. In the end, 600 would work just as well. It is just that using the LCD allows you to use smaller numbers and less ugly arithmetic.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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