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### Course: 3rd grade > Unit 14

Lesson 3: Line plots with fractions- Measuring lengths to nearest 1/4 unit
- Measure lengths to nearest 1/4 unit
- Graphing data on line plots
- Graph data on line plots
- Interpreting line plots with fractions
- Read line plots (data with fractions)
- Line plots review
- Represent and interpret data: FAQ

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# Interpreting line plots with fractions

Interpret data on line plots to the nearest 1/4 unit with some unlabeled tick marks. Created by Sal Khan.

## Want to join the conversation?

- i still did not understand it(13 votes)
- For the last explanation 9 1/2 and 5 1/4. There are two dots over 9 1/2 and there is one dot over 5 1/4.

Two dots minus one dot equals to one dot.(5 votes)

- What is a fraction?(1 vote)
- a fraction is a math sentence that shows half of 2 or 2 fourths.(6 votes)

- line plotes are now easy to me

😁😁😁😁😁😁😁😁😁😁😁😁😁😁😁😁😁😁😁😄😄😄😄😄😄😄😃😃😃😃😃😃😃(4 votes)- me too 😃😃😃😃😃😃😃😃😃😃😃😁😁😁😁😁😁😁😁😁😁😁😁😁(2 votes)

- like how are your hands not hurting(5 votes)
- I had 222222222222222 cars Bob had 44444444444444 how many altogether?(3 votes)
- i have already learned this.(3 votes)
- How far can fractions split into? (As in like 2/266 or something)(2 votes)
- Hey Sutton Jade!

Fractions can keep being (simplified) as long as the numerator and the denominator have a common factor by which you can divide by. There are two ways to solve this.

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Example:

1.

You can start at the corresponding numerators and denominators and keep dividing by a small and constant number. For this one let's choose 2. Let's simplify 28/370.

28 /2= 14

370 /2=185=not divisible by two or seven

The answer is 14/185.

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2.

For this method you need to find the GCF(the greatest common factor) To do this you should write down all of them first. Let's simplify 70/90 using this method.

Factors

70:1, 2, 5, 7, 10, 14, 35, 70

90:1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The GCF is 10.

So, now that we have our GCF we divide the fraction by it.

70/90 divided by (/) 10 = 7/9.

The answer is 7/9.

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I hope this answered your question.

Have a wonderful day!(3 votes)

- One of the questions in the quiz are so hard(2 votes)
- I understand it :)(2 votes)

## Video transcript

- [Instructor] What we're
going to do in this video is review what we know about line plots, but apply them in a situation where some of our data involves fractions. So they tell us the lengths
of some caterpillars are shown below, and so we can see that here in the line plot, just to refresh our minds
how to read a line plot, this tells us that we
have two caterpillars that are four centimeters long. These three show that we
have three caterpillars that are seven centimeters long. Each dot represents a caterpillar whose length we are measuring. It allows us to see how those
lengths are distributed. For example, we have a lot of
caterpillars at this length. What is that length? Well we can see that is exactly half way between four and five, so that is four and one
half centimeters long. We divide the section
between four and five into two equal sections, and we're going one of those two equal
sections towards five, so this is four and a half centimeters. I can ask you some questions. How many total caterpillars were measured? Pause this video and think about that. Well each dot represents
a caterpillar measurement, and we have one, two, three,
four, five, six, seven, eight, nine, 10, 11,
12, 13, 14, 15, 16, 17. So we have a total of 17 caterpillars. Now another question
we could ask ourselves is how many of the caterpillars are five and one fourth centimeters long? Pause the video and think about that. Well five and one fourth is
going to be more than five, and what we'd want to do to
get to five and one fourth is divide the interval or the
length between five and six into four equal sections,
they already did that, one, two, three, four,
and then we want to go one of those four equal sections. So five and one fourth is right over here and we can see that
there's one caterpillar that is five and one
fourth centimeters long. We can ask ourselves other questions. How many caterpillars,
let me write it over here, how many have length more than six and one half centimeters? Pause the video and try to answer that. Where is six and a half centimeters? Well, we can divide the
section between six and seven into two equal sections, and if you go one of those two equal sections,
that is six and a half, so that is six and a
half right over there. How many have a length
more than or greater than six and a half centimeters? Well we can see it right over here. One, two, three, four, five, six. Six of them do. And we can even try to
answer questions like how many more have a length of nine and a half centimeters than five and one fourth centimeters? Try to answer that question. Well nine and a half centimeters, that's half way between nine
and 10, right over there. We can see two of them have a length of nine and a half centimeters. And we already know that one of them has a length of five and one fourth, so how many more have nine
and a half centimeters versus five and one fourth? Well that would be two
minus one, or one more. We have one more caterpillar with a length of nine and a half centimeters than we do with five and one fourth. I'll leave you there. We have plenty of examples on Khan Academy for you to practice this.