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# Reading a line plot with fractions

CCSS.Math:

## Video transcript

the amount of rain that falls in various cities in France varies the line plot below shows the average monthly rainfall in 13 different cities measurements are rounded to the nearest 1/4 of a centimeter how much more rain falls in the rainiest city then the second rainiest city so let's make sure we understand what they're calling a line plot right over here each of these dots represents one of the cities whose average monthly rainfall was measured and so for example putting this dot here shows that this is the only city that had 6 centimeters of average monthly rainfall here this shows that there were two cities there were two cities that haven't had an average monthly rainfall of looks like 8 and 3/4 8 and 3/4 centimeters there are two cities that had an average monthly rainfall of 12 and 3/4 centimeters so at any given mount of rainfall it's essentially showing you how many cities had that average month that had that amount of rainfall on average per month now what now that we understand this diagram let's answer the question how much more rain falls in the rainiest city so the rainiest city here well there's only one city that's up here at 13 and 1/2 cent and 1/2 centimeters of rainfall so this right over here let me mark this off this is 13 and 1/2 centimeters how much more rain falls in the rainy City then the second rainiest city well this is the second rainy City is this city right over here this is 13 and 1/4 centimeter so the average the the difference between the two is just one notch here it's just one knotch going from 13 and 1/4 to 13 and 1/2 so whatnot right over here we see that there's four notches per centimeter one notch over here is 1/4 of a centimeter so just looking at it you could say that the difference is 1/4 is 1/4 of a centimeter now if it wasn't so clear because here we're just looking 1 not right over here you could take the larger of the 2 and subtract 4 that the smaller of the two so you could take you could take 13 and 1/2 and from that subtract 13 and 1/4 and there's multiple ways of doing this you could set you could subtract 13 from the 13 and then subtract the 1/4 from the 1/2 and then you would get 1/4 in other ways you could convert these both into improper fractions so 13 and 1/2 is the same thing as 2 times 13 is 26 plus 1 is 27 so that's 27 over 2 and then we could say minus C 4 times 13 is 52 plus 1 is 53 so minus 53 over 4 and then if we want to have we in order to do the subtraction you have to have the same denominator and so 4 is a multiple of 2 so we just have to multiply the numerator and denominator here by 2 so we have 54 over 4 minus 53 over 4 which is equal to which is equal to well 54 minus 53 is 1 over 4 1/4 of a centimeter for this problem this would clearly be a little bit too much that you would have to do but this is useful to know just in case it wasn't as obvious that these weren't just next to each other