Adding 1 to a/b?I've been learning algebra 2 and came across a question telling me to add 1 to a b by finding the least common multiple of the divisors. So I got 1 b 1 b + a b that simplified is b b + a b . So then I added those two fractions together and got a b b I saw that the two b's cancelled each other out so I got a 1 which is a? How does adding 1 to a b get a, this doesn't seem to be right because 1 + 2 3 isn't 2 it's 1 and 2 3 . Am I doing something wrong or is this actually correct, if so can you explain to me why?

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Adding 1 to a/b?I&#039;ve been learning algebra   2 and came across a question telling me to add   1 to       a    b   by finding the least common multiple of the divisors. So I got             1      b              1      b        +      a    b   that simplified is       b    b    +      a    b  . So then I added those two fractions together and got             a      b        b   I saw that the two   b&#039;s cancelled each other out so I got       a    1   which is   a? How does adding   1 to       a    b   get   a, this doesn&#039;t seem to be right because   1  +      2    3   isn&#039;t   2 it&#039;s   1 and       2    3  . Am I doing something wrong or is this actually correct, if so can you explain to me why?

try100hkda8mm · Accepted Answer

&quot;...that simplified is b/b+a/b. So then I added those two fractions together and got ab/b ..&quot;That shouldn&#039;t make any sense and if I saw your paper I may understand why you did it. But it&#039;s simply wrong.  1  +      a    b              1      b              1      b        +      a    b        b    b    +      a    b   You are right so far so let&#039;s add these.            b      +      a        b   ... and I don&#039;t know why you added a + b to get ab (probably a misplaced mark on the scratch paper). The final answer is             b      +      a        b  ===== &quot; its a+b/b which is a+1 when simplified&quot;.Oooh, no. Both the a and the b are over the b. You can&#039;t cancel out just one.            a      +      b        b    ≠  a  +      b    b  You can factor the b out of both but then you get            a      +      b        b    =            a              /            b      +      1        1    =      a    b    +  1 but then you have worked yourself back to exactly where you started.

Brayan Herring · Accepted Answer

&quot;So I got 1b/1b+a/b that simplified is b/b+a/b. So then I added those two fractions together and got ab/b&quot;You have figured out correctly up to this point:      b    b    +      a    b  The next step in your statement is where the error made. Since the denominators are equal, you just add the numerators and divide by the common denominator to get:      b    b    +      a    b    =            b      +      a        b  The general rule is (where   x and   y are not zero)is:      A    x    +      B    y    =            A      y      +      B      x              x      y

Adding 1 to a/b? I've been learning algebra 2 and came across a question telling me to add

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