Answer this and you will be good at 5-6 grade math

Question

Kyle went to the gym for 1 2/5 hours he spent 1/3 of his time playing basketball. How long did he play basketball

Answer 1

Kyle went to the gym for 1 2/5 hours he spent 1/3 of his time playing basketball. How long did he play basketball



Lets reinterpret/breakdown the question...

The total amount of time that Kyle spent at the gym was 1 2/5 hours.

1. Out of the total amount, Kyle spent 1/3 of the total amount of time (1 2/5 hours) playing basketball.
2. Question: How long did Kyle play Basketball. - Here it is possible to assume that they want us to be consistent with our unit "hours". We will produce our result in hours.

Pictorial Representation...

Let's Solve...

1. We know that Kyle spent 1/3 of 1 2/5 hours hours playing basketball. Because we have an "of" statement, we know that we need to multiply 1/3 and 1 2/5 hours . This gives us the amount of time spent at the gym.
2. 1/3 * 1 2/5 hours hours = 0.462 hours
3. We can also use ratios to solve this problem. We know that 1 2/5 hours is representative of the total amount of time spent at the gym. This means that 1 2/5 hours hours = 100% of the hours. Analogous to this we know that the amount of hours that Kyle spent playing basketball is = 1/3 = 33%
4. Setting up our equation we have the following: 100%/33% = 1.4/x . Next...
5. 100% * x = 33% * 1.4 which is the same as x = 0.33(1.4hours). So...
6. x = 0.462 hours
7. Insights...
8. Our solution 0.462 hours can be explained better if we put it in terms of minutes. We know that 1 hour = 60 minutes which means we have 60 hours/ minute.60 hours/minute * 0.462hours = 27.72 minutes. This is very close to 30 minutes which is 0.50 hours, which is close to our 0.462 hours.
9. The amount of hours that Kyle didn't spend playing basketball is equal to 1.4 hours - 0.462 hours = 0.938 hours = 56.28 minutes. So Kyle spent almost an hour doing something else at the gym.