i know this is probably a really simple answer and i'm gonna want to hit my head on a wall after i get it, hopefully, but how would i find a unit rate and then simplify it, if possible? like, 3 pages/5 hours? like the directions just say to write as a rate in simplest form...would 3/5 be in the simplest form? or would i have to find the unit rate? >_<
My guess would be that the unit rate would be something like number of pages per one hour. Does that help? So you would have to find out how many pages per hour.
but when i did 3 pages divided by 5 hours, it came out to 0.6...doesn't make much sense...i guess 3/5 is as simplified as it can get and that's my answer....
No, I think 0.6 pages per hour makes sense...if a teacher could comment on this, it would really help.
Yes, 0.6 page per one hour does make sense. You could also have a unit rate if we did it the other way. 5/3 would be 1.67 hours per one page. From the question I can't tell which one you prefer but I think either would be ok since both are unit rates. One is the rate of pages/hour and the other is the rate of hours/page.
Finding a unit rate and simplifying it involves a few steps. Let's take the example you mentioned: 3 pages/5 hours.
1. To find the unit rate, divide the number of pages by the number of hours. In this case, 3 divided by 5 gives you a unit rate of 0.6.
2. To simplify the unit rate, you need to express it in simplest form. In this case, 0.6 can be simplified further. To do so, multiply both the numerator and denominator by 10 to get rid of the decimal:
0.6 * 10 = 6 / 10
3. Next, simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. In this case, 6 and 10 have a GCD of 2:
6 / 2 = 3
10 / 2 = 5
Therefore, the simplified unit rate is 3/5.
To summarize the steps:
1. Divide the numerator by the denominator to find the unit rate.
2. Simplify the unit rate by multiplying both the numerator and denominator to remove any decimals.
3. Find the greatest common divisor (GCD) of the numerator and denominator to simplify the fraction further.
Remember, the simplified form is important because it represents the ratio in the simplest possible terms.