Jayda delivers newspapers on her paper route, taking 3 hours to distribute 189 newspapers. To calculate her rate per hour, divide the total newspapers (189) by the hours taken (3). This results in Jayda delivering 63 newspapers per hour, showcasing her efficiency and speed. Created by Sal Khan and Monterey Institute for Technology and Education.
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- Does anyone understand why Sal had to flip the 3/189 to 189/3 before he did the problem?(312 votes)
- Fractions is basically dividing.
For example 189/3 (improper fraction) = 189/3 <- Divide symbol "/" It's like simplifying it, 189/3 and 3/3 = 63/1. If he flipped it around to 3/189, then it would become smaller (3 hours for every 189 newspapers, or 3 divided by 189), simplified as 1 hour for every 63 newspapers (1 divided by 63), but it would be as decimal form if you divide it (1 divided by 63 and 3 divided by 189, both equals 0.0158730158730159, etc.) = 0.0158730158730159...(irrational number, random numbers forever going on, like pi). But if it was 189/3 (we are dealing with whole numbers) we can turn it into a mixed number: 3 can go in 189 "63" times perfectly, so 63 0/189. So that's how we got our answer. (Or 189 divided by 3, but the other way around. See how 189 divided by 3 (189/3) is different that 3 divided by 189? (3/189) ) Order matters.
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Jayda takes 3 hours to deliver 189 newspapers on her paper route. What is the rate per hour at which she delivers the newspaper? So this first sentence tells us that she delivers, or she takes, 3 hours to deliver 189 newspapers. So you have 3 hours for every 189 newspapers. That's what the first sentence told us. But we want to figure out the rate per hour, or the newspapers per hour, so we can really just flip this rate right here. So if we were to just flip it, we would have 189 newspapers for every 3 hours, which is really the same information. We're just flipping what's in the numerator and what's in the denominator. Now we want to write it in as simple as possible form, and let's see if this top number is divisible by 3. 1 plus 8 is 9, plus 9 is 18. So that is divisible by 3. So let's divide this numerator and this denominator by 3 to simplify things. So if you divide 189 by 3. Let's do it over on the side right here. 3 goes into 189. 3 goes and 18 six times. 6 times 3 is 18. Subtract. Bring down the 9. 18 minus 18 was nothing. 3 goes into 9 exactly three times. 3 times 3 is 9, no remainder. So if you divide 189 by 3, you get 63, and if you divide 3 by 3, you're going to get 1. You have to divide both the numerator and the denominator by the same number. So now we have 63 newspapers for every 1 hour. Or we could write this as 63 over 1 newspapers per hour. Or we could write this as 63, because 63 over 1 is the same thing as 63 newspapers per hour.