Describe a real world problem that can be solved using the expression 29 divided (3/8 + 5/6). Find the answer in the context of the situation
Answer is 24
A real-world problem that could be solved using the expression 29 divided by the sum of 3/8 and 5/6 is determining the average time it takes for a car to travel a certain distance.
Let's say you are tracking the time it takes for a car to complete a lap around a race track, and you have collected data from multiple attempts. The time it takes for each lap might vary, so you want to find the average time it takes the car to complete a lap.
In this case, 29 represents the total sum of time it took for the car to complete multiple laps. The expression (3/8 + 5/6) represents the combined time it took for the car to complete two laps.
To find the average time, you would divide the total time (29) by the sum of the indicated fraction values.
To calculate the value of (3/8 + 5/6), you 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) * (3/3) = 9/24
- (5/6) * (4/4) = 20/24
Now, add the fractions together:
(9/24 + 20/24) = 29/24
So, the expression 29 divided by (3/8 + 5/6) simplifies to: 29 divided by (29/24).
To divide by a fraction, you invert and multiply the dividend. Therefore, the expression becomes:
29 * (24/29) = 24
Therefore, in this context, the answer to the expression 29 divided by (3/8 + 5/6) is 24, which suggests that the average time it takes for the car to complete a lap around the track is 24 units of time.