Add. Simplify the result if possible.
[tex]\frac{c}{13}+ \frac{2}{13}[/tex]
Answer (2)
Add the numerators since the denominators are the same: c + 2 .
Keep the same denominator: 13 .
The simplified result is: 13 c + 2 .
Explanation
Understanding the Problem We are asked to add two fractions, 13 c and 13 2 . Both fractions have the same denominator, which is 13.
Adding the Fractions To add fractions with the same denominator, we add the numerators and keep the denominator the same. So, we have: 13 c + 13 2 = 13 c + 2
Simplifying the Result The result is already simplified, as c is a variable and cannot be combined with the constant 2. Therefore, the final answer is 13 c + 2 .
Examples
Fractions are used in everyday life, such as when splitting a pizza or sharing a cake. If you have a pizza cut into 13 slices and you take 'c' slices and your friend takes 2 slices, then you and your friend together have 13 c + 2 of the pizza. Understanding how to add fractions helps you determine the total amount you have when combining portions.
To add the fractions 13 c and 13 2 , you add the numerators to get c + 2 and keep the same denominator of 13. The final simplified result is 13 c + 2 . This process is useful for understanding how to combine parts of a whole.
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