A few days ago
I need help with algebra Homework.?
Find the least common denominator of the following fractions
3/a, 3/b, 1/5
How would you find the LCD in Polynomial fractions???
Top 2 Answers
A few days ago
Favorite Answer
look at the denominators: they are a, b & 5
do they have common factors: no
LCD: 5ab
In dealing with LCD, factor completely each denominator whether it is a real number or a polynomial. Then for each base get the highest exponent that can be found in one of the denominators.
example: 1/18 + 1/24
18 = 2 * 3²
24 = 2³ * 3
Then LCD = 2³ * 3²
say 1/(a³b) + 1/(ab²-a)
a³b = a³b {it is already completely factored}
ab²-a = a(b²-1) = a(b-1)(b+1)
the bases found in the denominators are: a,b,(b-1)(b+1)
Then LCD = a³b(b-1)(b+1)
Hope it helps.
d:
1
A few days ago
Since the 3 denominators, a, b, and 5 are not similar, the least common denominator would simply be 5ab.
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