Simplify:
1/4a+2 + 4/6a+3
I got 14/6(2a+1)
but I don't think it is right
1/(4a+2) = 1/2(2a+1)
4/(6a+3) = 4/3(2a+1)
Now you have
1/2(2a+1) + 4/3(2a+1)
Change it all to be over 6(2a+1):
3/6(2a+1) + 8/6(2a+1) = 1/6(2a+1)
How did yo get 14?
forget the (2a+1) for now
1/2 + 4/3 = 3/6 + 8/6 = 11/6
oops. typo. that is 11/6(2a+1), not "1"
oh yeah sorry for some reason i did 8+6/6(2a+1)...it should have been 11 thanks for the help:)
To simplify the expression (1/4a + 2) + (4/6a + 3), you need to combine like terms and simplify the fractions if possible.
First, let's simplify the fractions:
1/4a + 2 = (1 + 8a)/4a (The denominator remains the same, and we add the numerators.)
4/6a + 3 = (4 + 18a)/6a (Again, the denominator remains the same, and we add the numerators.)
Now we have:
[(1 + 8a)/4a] + [(4 + 18a)/6a]
To combine the fractions, we need a common denominator, which is the least common multiple of 4a and 6a, which is 12a.
Multiplying the first fraction by 3/3 (to get a common denominator of 12a):
[(1 + 8a)/4a] * (3/3) = (3 + 24a)/12a
Multiplying the second fraction by 2/2 (to get a common denominator of 12a):
[(4 + 18a)/6a] * (2/2) = (8 + 36a)/12a
Now we have:
(3 + 24a)/12a + (8 + 36a)/12a
To add the fractions, we just add the numerators and keep the common denominator:
(3 + 24a + 8 + 36a)/12a = (11 + 60a)/12a
Therefore, the simplified expression is (11 + 60a)/12a.
Note: It's important to be careful when simplifying expressions with fractions and variables. Always check your work to ensure correctness.