How To Add Fractions With Binomials In The Denominator

so, adding fractions with variables is reallyno harder than just adding fractions in the first place. so, lets say you've got 3x over5, and you want to add it to 2x over 5. so this one already has a common denominator.so we are just going to go ahead and add right off the bat. so we are going to get 3x plus2x on top. let's write that like this. and we've got our common denominator of 5, sothat just goes on bottom. you have 3x plus

How To Add Fractions With Binomials In The Denominator, 2x, is 5x. and we've got our common denominatorof 5. so the answer is 5x over 5. and of course, whenever possible, you should reduce a fraction.so 5x over 5, the 5's cancel out. and actually wind up just having x as the answer. so theanswer to 3x over 5 plus 2x over 5, is actually just x. let's take a look at a second examplewhere the denominators don't match up. so,

let's say you've got 2x over 3, plus 4x over5. so this time the denominators don't match, so we can't just add right off the bat. we'regoing to have to make these a common denominator. that's no big deal. the common denominatoris 15, because 3 times 5 is 15. so we're going to do 15 here and 15 here. the plus sign soyou don't forget it. it's always a good idea to copy straight down. so, 3 times what is15? the answer's 5. so we have to multiply the top by 5 as well. so 2x times 5, makethat a dot, is 10x. 5 times what is 15? the answer is 3, so we multiply the top by 3 aswell. 5 times 3 is 15, 4x times 3 is 12x. and now we add. 10x plus 12x, over 15. 10xplus 12x is 22x. and that's our answer. and then of course you should always reduce thefraction is you can. but this one doesn't

reduce. 22 and 15 don't have any common terms.so your final answer, 22x over 15.