Answer :
To find the sum of [tex]\(\frac{7}{12}\)[/tex] and [tex]\(\frac{18}{12}\)[/tex], we follow these steps:
1. Identify the Denominators:
Both fractions have the same denominator, which is 12. This means we can easily add them without needing to find a common denominator.
2. Add the Numerators:
Since the denominators are the same, add the numerators:
[tex]\[
7 + 18 = 25
\][/tex]
3. Write the Sum:
Put the sum of the numerators over the common denominator:
[tex]\[
\frac{25}{12}
\][/tex]
4. Simplify the Fraction (if necessary):
Check if the fraction can be simplified. In this case, [tex]\(\frac{25}{12}\)[/tex] is already in its simplest form.
5. Convert to a Mixed Number:
If you want to express [tex]\(\frac{25}{12}\)[/tex] as a mixed number, divide 25 by 12:
- 25 divided by 12 is 2 with a remainder of 1.
- Thus, [tex]\(\frac{25}{12}\)[/tex] can be written as [tex]\(2 \frac{1}{12}\)[/tex].
Thus, the sum of [tex]\(\frac{7}{12}\)[/tex] and [tex]\(\frac{18}{12}\)[/tex] is [tex]\(2 \frac{1}{12}\)[/tex].
The correct answer is option D. [tex]\(2 \frac{1}{12}\)[/tex].
1. Identify the Denominators:
Both fractions have the same denominator, which is 12. This means we can easily add them without needing to find a common denominator.
2. Add the Numerators:
Since the denominators are the same, add the numerators:
[tex]\[
7 + 18 = 25
\][/tex]
3. Write the Sum:
Put the sum of the numerators over the common denominator:
[tex]\[
\frac{25}{12}
\][/tex]
4. Simplify the Fraction (if necessary):
Check if the fraction can be simplified. In this case, [tex]\(\frac{25}{12}\)[/tex] is already in its simplest form.
5. Convert to a Mixed Number:
If you want to express [tex]\(\frac{25}{12}\)[/tex] as a mixed number, divide 25 by 12:
- 25 divided by 12 is 2 with a remainder of 1.
- Thus, [tex]\(\frac{25}{12}\)[/tex] can be written as [tex]\(2 \frac{1}{12}\)[/tex].
Thus, the sum of [tex]\(\frac{7}{12}\)[/tex] and [tex]\(\frac{18}{12}\)[/tex] is [tex]\(2 \frac{1}{12}\)[/tex].
The correct answer is option D. [tex]\(2 \frac{1}{12}\)[/tex].