Sure! Let's solve this step-by-step.
Step 1: Identify the given values.
We know that the sum of two numbers is [tex]\(\frac{11}{12}\)[/tex]. One of these numbers is given as [tex]\(\frac{5}{12}\)[/tex].
Step 2: Let the other number be [tex]\(x\)[/tex].
Step 3: Set up the equation based on the given information.
The sum of the two numbers is [tex]\(\frac{11}{12}\)[/tex]. Therefore, we can write the equation:
[tex]\[
x + \frac{5}{12} = \frac{11}{12}
\][/tex]
Step 4: Solve for [tex]\(x\)[/tex].
To find the value of [tex]\(x\)[/tex], we need to isolate [tex]\(x\)[/tex] on one side of the equation. We can do this by subtracting [tex]\(\frac{5}{12}\)[/tex] from both sides of the equation:
[tex]\[
x = \frac{11}{12} - \frac{5}{12}
\][/tex]
Step 5: Perform the subtraction.
Since the fractions [tex]\(\frac{11}{12}\)[/tex] and [tex]\(\frac{5}{12}\)[/tex] have the same denominator, we simply subtract the numerators:
[tex]\[
x = \frac{11 - 5}{12} = \frac{6}{12}
\][/tex]
Step 6: Simplify the fraction.
The fraction [tex]\(\frac{6}{12}\)[/tex] can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 6:
[tex]\[
x = \frac{6 \div 6}{12 \div 6} = \frac{1}{2}
\][/tex]
Conclusion:
The other number is [tex]\(\frac{1}{2}\)[/tex].
So, the other number is [tex]\(\frac{1}{2}\)[/tex], the sum of the two numbers is [tex]\(\frac{11}{12}\)[/tex], and one of those numbers is [tex]\(\frac{5}{12}\)[/tex].
