SOLUTION: I have to find the LCD for the given rational expression and convert each rational expression into an equivalent rational expression with the LCD as the denominator.
4b/75a and
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: I have to find the LCD for the given rational expression and convert each rational expression into an equivalent rational expression with the LCD as the denominator.
4b/75a and
Log On
Question 251966: I have to find the LCD for the given rational expression and convert each rational expression into an equivalent rational expression with the LCD as the denominator.
4b/75a and 6/105ab
I know that 5 and 15 go into each of the denominators but I cannot seem to get the common denominator if I multiply each denominator by 5 or 15.
You can put this solution on YOUR website! A common denominator could be 7875=75*105
but you rightly pointed out that 15 will go into both 75 and 105
so we divide 7875 by 15 and get 525
so let's why that works
Actually we come up with 525
so to get 525 we multiplied 75*7
and 105* 5
so now we have 4b*7/525a
6*5=30
30/525ab
so we have two fractions
28b/525a and 30/105ab
the denominators are quite the same yet.
We still have to multiply 28b/525a by b/b
28b^2/525ab and 30/525ab
So from the beginning we could have found that
105=15*7 and 75=15*5
so they share 15 and need to share 5 and 7
so if we multiply 6/105ab by 5/5 and 4b/75a by 7b/7b
We will have a LCD of 525ab
28b^2/525ab and 30/525ab
Note:
6/105ab was not in its simplest form
Multiply by 1/3 over 1/3 gets us 2/35ab
