SOLUTION: How do you solve fractions like this 3 5/11+3/22?

Question 531723: How do you solve fractions like this 3 5/11+3/22?
Found 2 solutions by stanbon, oberobic:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve fractions like this
3 5/11+3/22
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= 3 10/22 + 3/22
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= 3 13/22
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Cheers,
Stan H.
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Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
I assume you mean: 3 5/11 + 3/22
.
3 5/11 = 11/11 * 3 + 11/11 * 5/11 = 33/11 + 5/11 = 38/11
.
Note that I just multiplied by 1, disguised as 11/11.
.
The other factor is 3/22, so the common denominator is 22.
.
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
.
Another approach is similar to cross-multiplying.
.
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.
.
38/11 + 3/22 = (38*22+11*3)/(11*22) = 79/22
.
Done.
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