High School

What is the sum of [tex]$\frac{7}{12}$[/tex] and [tex]$\frac{18}{12}$[/tex]?

A. [tex][tex]$\frac{11}{12}$[/tex][/tex]
B. [tex]$1 \frac{1}{24}$[/tex]
C. [tex]$2 \frac{1}{12}$[/tex]
D. [tex][tex]$\frac{12}{25}$[/tex][/tex]

Answer :

To solve the problem of finding the sum of [tex]\(\frac{7}{12}\)[/tex] and [tex]\(\frac{18}{12}\)[/tex], we will add the fractions.

1. Identify the Fractions:
The fractions given are [tex]\(\frac{7}{12}\)[/tex] and [tex]\(\frac{18}{12}\)[/tex].

2. Same Denominator:
Both fractions have the same denominator, which is 12. This makes it easy to add them directly.

3. Add the Numerators:
Since the denominators are the same, simply add the numerators:
[tex]\[ 7 + 18 = 25 \][/tex]

4. Write the Sum as a Single Fraction:
Place the sum of the numerators over the common denominator:
[tex]\[ \frac{25}{12} \][/tex]

5. Convert to Mixed Number:
To express [tex]\(\frac{25}{12}\)[/tex] as a mixed number, divide 25 by 12:
- 12 goes into 25 two times (since [tex]\(12 \times 2 = 24\)[/tex]).
- The remainder is [tex]\(25 - 24 = 1\)[/tex].

So, [tex]\(\frac{25}{12}\)[/tex] can be written as the mixed number [tex]\(2\frac{1}{12}\)[/tex].

Therefore, 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 C. [tex]\(2 \frac{1}{12}\)[/tex].