<PRE><B>Question 531723</B>
I assume you mean:  3 5/11 + 3/22
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3 5/11 = 11/11 * 3 + 11/11 * 5/11 = 33/11 + 5/11 = 38/11
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Note that I just multiplied by 1, disguised as 11/11.
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The other factor is 3/22, so the common denominator is 22.
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38/11 * 2/2 = 76/22
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76/22 + 3/22 = 79/22
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79/22 = 3 13/22
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Another approach is similar to cross-multiplying.
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With two fractions a/b + c/d you can add them like this:  (a*d+b*c)/(b*d)

You start by converting 3 5/11 to 38/11 the same as before.
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38/11 + 3/22 = (38*22+11*3)/(11*22)  = 79/22
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Done.</PRE>