Describe a real-world problem that can be solved using the expression 29 divided by (3/8 + 5/6). Find the answer in the context of the situation.
Please help! Due tomorrow. I would really appreciate it!
A real-world problem that can be solved using the expression 29 divided by (3/8 + 5/6) might be calculating the average time it takes for a student to complete two different assignments.
Let's say that a student has two assignments - Assignment A and Assignment B. The student wants to know the average time it takes to complete both assignments combined.
To solve this problem, the student needs to find the sum of the time it takes to complete Assignment A and the time it takes to complete Assignment B and then divide it by 2 (as there are two assignments).
Let's assign variables to represent the time taken for each assignment.
Let x be the time taken for Assignment A.
Let y be the time taken for Assignment B.
The total time it takes to complete both assignments combined can be calculated as (x + y).
Now, we can represent the expression 29 divided by (3/8 + 5/6) in this context.
29 divided by (3/8 + 5/6) can be rewritten as 29 ÷ (3/8 + 5/6).
To evaluate this expression, we need to add the fractions (3/8 + 5/6) and then divide 29 by the resulting sum.
To add the fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 8 and 6 is 24.
Converting the fractions to have a common denominator:
3/8 = (3/8) * (3/3) = 9/24
5/6 = (5/6) * (4/4) = 20/24
Now, we can add the fractions: (9/24 + 20/24) = 29/24.
So, the expression 29 ÷ (3/8 + 5/6) is equivalent to 29 ÷ (29/24).
To divide by a fraction, we can multiply by the reciprocal of the fraction.
29 ÷ (29/24) = 29 * (24/29) = 24.
In the context of the problem, the answer to the expression 29 divided by (3/8 + 5/6) is 24. Therefore, the average time it takes for the student to complete both assignments is 24 units (e.g., hours, minutes, etc.).
Please note that this explanation assumes that the fractions represent parts of a whole rather than percentages or proportions. The specific context of the problem may vary, so make sure to adapt the explanation accordingly.