Good morning I tried to simplify the problem below and I am getting some weird results can anyone help me break this down ( simplify in detail )

1/ 1/a + 1/b=

thank you in advance.

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- January 7th 2009, 05:31 AMAlgebraicallyChallengedHelp in simplifying
Good morning I tried to simplify the problem below and I am getting some weird results can anyone help me break this down ( simplify in detail )

1/ 1/a + 1/b=

thank you in advance. - January 7th 2009, 05:57 AMearboth
- January 7th 2009, 12:10 PMMath Major

1/1/a is the same thing as writing 1 divided by 1/a. When we divide by a fraction, we multiply by its reciprocal, so the operation becomes 1 * a which is just a.

Now we have a + 1/b. In order to add these two, we have to have a common denominator. Since b is the lowest common denominator, multiply both the numerator and denominator of all terms by b.

(ab)/b + 1/b = (ab+1)/b - January 7th 2009, 12:42 PMSoroban
Hello, AlgebraicallyChallenged!

Quote:

Simplify: .

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