Question

6/5a + 5/3a+2

Answer 1

solving for a?

Answer 2

no. it says: perform the indicated operations

Answer 3

\[\frac{ 6 }{ 5a } + \frac{ 5 }{ 3a } + 2\]

Answer 4

like that?

Answer 5

the "+2" goes with the -->3a. so it will be 3a+2 the rest of the equation is fine

Answer 6

ok, so how do you add two fractions?

Answer 7

wel for instance the top numbers 6 and 5 you add them and the bottom i believe you multiply each to equal 15. im not sure

Answer 8

in order to add two fractions you need to have common denominators

Answer 9

so would the common denominator be 15?

Answer 10

\[\frac{ 6 }{ 5a }+\frac{ 5 }{ 3a+2 }=\frac{ 6(3a+2) }{ 5a(3a+2) }+\frac{ 5(5a) }{ (3a+2)5a }\]

Answer 11

so the common denominator is 5a(3a+2)

Answer 12

basically cross multiplying is being done?

Answer 13

yep, I like to think that I'm multiplying the numerator by whatever is missing from the denominator.

Answer 14

so the problem isn't done but do you think you got it from here?

Answer 15

i think i do. well i try to finish the problem and i got 6+5/5a(3a+2) which equals 11/5a(3a+2) . Am I right or wrong?

Answer 16

i cross out the common numbers from the denominator to the numerator

Answer 17

\[\frac{ 6(3a+2) }{ 5a(3a+2) }+\frac{ 5(5a) }{ (3a+2)(5a) }=\frac{ 18a+12 }{ 5a(3a+2)}+\frac{ 25a }{ 5a(3a+2) }\]

Answer 18

that's the next step

Answer 19

then since you have a common denominator just rewrite it as a single fraction with that common denominator and combine the terms in the numerator

Answer 20

some instructor may want you to multiply the denominator but it doesn't change anything

Answer 21

thank you so much ! you were a great help.

Answer 22

no problem, glad to help