Respuesta :
The answer is 26 5/13. Figuring this out is really simple. A good way with dealing with more than one mixed numbers (whole number and a fraction) would be to make two separate equations, one with the whole numbers and one with the fractions. In this case you could have 11 + 15 and 2/13 + 3/13. First, you are going to want to get the sum of 11 and 15, which is 26. After that you want to add the fractions. Luckily the denominators are the same so all you need to do is add the two numerators. When you have the same denominator when adding or subtracting fractions it'd be a lot easier to merge them and write it like [tex]\frac{3 + 2}{13}[/tex]. The sum of these two fractions is 5/13. Now, just put your whole number and fraction together and you'll get 26 5/13.
The sum of the given fraction as a mixed fraction is [tex]26\frac{5}{13}[/tex]
Given the expression 11 3/13 + 15 2/13
- We can see that the expression are mixed fractions
- We need to convert them both to improper fractions as shown:
[tex]=11\frac{3}{13}+15\frac{2}{13} \\= \frac{146}{13} + \frac{197}{13}\\[/tex]
Since the LCM are equal, the LCM of both fractions will 13. Taking the sum;
[tex]= \frac{146}{13} + \frac{197}{13}\\=\frac{146+197}{13} \\=\frac{343}{13}\\=26\frac{5}{13}[/tex]
Hence the sum of the given fraction as a mixed fraction is [tex]26\frac{5}{13}[/tex]
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