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GenX-Education
  • 9/5/2024
Transcript
00:00Hey guys and thanks for joining me today.
00:05As you can see we have a bit of a situation here.
00:08Those things following us are hungry space gators.
00:11They will eat pretty much anything that is big when they are hungry.
00:15We need to feed them some fractions to curb their appetite.
00:19Will you guys help me?
00:20Great!
00:21Let's compare some fractions and let them eat the biggest ones.
00:28Before we jump in let's remind ourselves what a fraction is.
00:33A fraction represents an equal part of a whole or a group.
00:38Here is one whole circle.
00:43This is a fraction, one third.
00:45The three or bottom number in a fraction is called the denominator.
00:51The denominator tells how many equal parts there are.
00:54To be a fraction all parts must be equal.
00:57We have three total parts that make up the whole circle.
01:02The numerator tells us how many equal parts we are talking about.
01:06For example the number one in the numerator is referring to the one green part of the
01:10circle.
01:11The fraction is one third or one part of the three equal parts.
01:18When we compare fractions we want to know if one fraction is greater than, less than
01:24or equal to.
01:25If you still need a refresher check out our last video on comparing numbers for second
01:29grade.
01:31Here we are comparing two fourths and three fourths.
01:35One great way we can compare them is by using models or drawings.
01:41When comparing fractions you want to make sure the models or drawings, or rectangles
01:44in this case, are the same size.
01:48If we had different size drawings, yeah that would not work so keep them the same size.
01:56Each of these rectangles is divided into four parts because the denominators are four.
02:01The left fraction has two spots that are colored green and the right fraction has three spots
02:06that are colored green.
02:08Looking at the two models can you tell me which one is bigger or has more green?
02:14The fraction on the right, three fourths, is bigger than two fourths.
02:19The space gator's mouth always opens to the bigger number so it wants to eat the three
02:23fourths.
02:25So we can say that two fourths is less than three fourths.
02:30Great job!
02:32Now another way we could have compared these two fractions is by noting that the denominator
02:36is the same in both fractions.
02:38Both fractions have four total parts.
02:41This means that we can look at the numerator and the bigger the number means that fraction
02:45is bigger.
02:46The numerator on the left is two and the numerator on the right is three.
02:51Three is bigger than two so we know three fourths is bigger than two fourths.
02:57Here is a new problem where we need to find out if one fourth is greater than, less than
03:01or equal to one eighth.
03:04You might notice that the denominators are not the same.
03:07We are again going to draw or use a model to show the two fractions.
03:13On the left we have a circle that is divided into four equal pieces.
03:17On the right we have the same size circle that is divided into eight equal pieces.
03:22The one piece in each fraction is colored green.
03:25By looking at the two, which fraction or green piece is larger?
03:31If you said one fourth you are correct.
03:34One piece of four is bigger than one piece of eight.
03:38Imagine that you have a pie that you are sharing.
03:40If you only share it equally with four people instead of eight people you will get a larger
03:45piece of the pie.
03:47Another way we can look at this is by looking at the denominators and numerators.
03:52The denominators are not the same in this problem.
03:55We have four on the left and eight on the right.
03:57The numerators however are the same number.
04:01If the denominators are different but the numerators are the same the bigger fraction
04:05will be the one with the smaller denominator.
04:09That is kind of tough to follow but let me explain.
04:12The denominator with the smaller number means it is divided into less pieces.
04:17This one has been divided into four pieces while this one has been divided into eight.
04:23The numerators are both one so that means the circle with the lower denominator is bigger.
04:30We have just one more problem to do so hang on tight.
04:35Looking at these two fractions can you tell me if one half is greater than, less than
04:39or equal to two fourths?
04:43If you said equal to you are correct.
04:45Each of these fractions are the same or equal to each other.
04:49One half is equal to two fourths.
04:51It is easier to see this because we have the models showing us what each fraction looks
04:55like.
04:56Drawing a model can help us compare fractions.
05:00I hope that you learned a little bit of how to compare fractions today.
05:05It looks like the space gators got their fill and are full.
05:09Wait, looks like one of them wants some more.
05:12I better lose this guy.
05:14See you later, goodbye.