Question

Adding and Subtracting with unlike denominators.
Find the LCD of these fractions:
4/5x^2y, 8/3xy, 12/13xy^5
a: 195xy
b:195xy^5
c:195x^2y^5
d:195x^4y^7

Answer 1

you need a 5, a 3 and a 13
also an \(x^2\) and a \(y^5\)

Answer 2

just like with numbers
each factor you see, to the highest power you see it
in this case
\[3\times 5\times 13x^2y^5\]

Answer 3

I don't understand

Answer 4

suppose i want the common denominator or least common multiple of \(18,24,30\)

Answer 5

\[18=2\times 3^2\\
24=2^3\times 3\\
30=2\times 3\times 5\]

Answer 6

my common multiple would be
\[2^3\times 3^2\times 5=360\]

Answer 7

you need each factor you see to the highest power you see it in any one term
\[5x^2y\\
3xy\\
13xy^5\] you need all three numbers
you need \(x^2\) and you need \(y^5\)

Answer 8

so what does that mean