I have to make up a story problem that divides 4/5 by 2/5 .... I'm having a hard time creating a problem
think of having group of friends and food. that one is very common.
John used up 4/5 of his gas tank getting 2/5 of the way to his destination. How many tankfuls does he need to make the trip?
To create a story problem that involves dividing 4/5 by 2/5, we can imagine a scenario involving John and his gas tank.
Story problem: John used up 4/5 of his gas tank to travel 2/5 of the way to his destination. How many tankfuls does he need to make the complete trip?
We can break down the solution into a few steps:
Step 1: Calculate the fraction of the tank John used up for 1/5 of the distance.
To find out how much gas John used for 1/5 of the distance, we can divide 4/5 by 2. This is because using 4/5 of the tank to travel 2/5 means each 1/5 requires 4/5 ÷ 2.
4/5 ÷ 2 = (4/5) × (1/2) = 4/10 = 2/5
Step 2: Determine how many tankfuls John needs to make the complete trip.
Since John used 2/5 of the tank for each 1/5 of the distance, he will need 5 tankfuls to cover the remaining 4/5 of the distance.
So, John needs 5 tankfuls of gas to make the complete trip.
By dividing 4/5 by 2/5 and using the concept of parts of the distance covered, we can create a story problem and solve it step by step.