Answer :
To find the sum of the fractions [tex]\(\frac{7}{12}\)[/tex] and [tex]\(\frac{18}{12}\)[/tex], we first notice that both fractions have the same denominator, which is 12. This makes it easy to add them together by adding their numerators:
[tex]\[
\frac{7}{12} + \frac{18}{12} = \frac{7 + 18}{12} = \frac{25}{12}
\][/tex]
Now, let's convert [tex]\(\frac{25}{12}\)[/tex] into a mixed number. A mixed number has a whole number part and a fractional part. To do this:
1. Divide the numerator (25) by the denominator (12) to get the whole number part.
[tex]\[
25 \div 12 = 2 \text{ remainder } 1
\][/tex]
So, the whole number part is 2.
2. The remainder is 1, which gives us the fractional part [tex]\(\frac{1}{12}\)[/tex].
Therefore, [tex]\(\frac{25}{12}\)[/tex] as a mixed number is [tex]\(2 \frac{1}{12}\)[/tex].
The correct answer is:
A. [tex]\(2 \frac{1}{12}\)[/tex]
[tex]\[
\frac{7}{12} + \frac{18}{12} = \frac{7 + 18}{12} = \frac{25}{12}
\][/tex]
Now, let's convert [tex]\(\frac{25}{12}\)[/tex] into a mixed number. A mixed number has a whole number part and a fractional part. To do this:
1. Divide the numerator (25) by the denominator (12) to get the whole number part.
[tex]\[
25 \div 12 = 2 \text{ remainder } 1
\][/tex]
So, the whole number part is 2.
2. The remainder is 1, which gives us the fractional part [tex]\(\frac{1}{12}\)[/tex].
Therefore, [tex]\(\frac{25}{12}\)[/tex] as a mixed number is [tex]\(2 \frac{1}{12}\)[/tex].
The correct answer is:
A. [tex]\(2 \frac{1}{12}\)[/tex]