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00:00Hey kids, sorry about that.
00:06I'm cooking brownies for my friend T-Rex.
00:08They have a party each year called the Equivalent Fraction Party.
00:12It is my job to bake the brownies before they get too hungry.
00:15Hey, I'm coming!
00:18Just give me a minute.
00:20Wait, do you smell something?
00:25Uh oh, I think I burned the brownies.
00:28Why don't you guys learn about equivalent fractions while I fix this mess.
00:33Today we are learning about equivalent fractions.
00:37The word equivalent really just means equal or the same.
00:41Here we have two rectangles.
00:43We can see that they are exactly the same size but are divided up differently.
00:47Let's write the fractions for these rectangles and start with the top one.
00:52The denominator shows the total amount of parts.
00:55So how many pieces is the rectangle cut into?
00:59Eight pieces.
01:00Good job!
01:02Now for the numerator.
01:03We want to know how many pieces are colored green.
01:08There are two pieces.
01:09Our fraction is two-eighths.
01:14Can you tell me what the fraction is for the bottom rectangle?
01:19The fraction is one-fourth.
01:21Great job!
01:22Did you notice that the pieces in this rectangle are different than the rectangle above it?
01:27Let's look at these two fractions.
01:29We have two-eighths and one-fourth.
01:31They don't look the same, but pay attention to the rectangles.
01:34Do the green parts of the rectangle look equal?
01:37Yes, you're right, they are equal.
01:42These two fractions are equivalent fractions.
01:45The amount colored green is the same amount.
01:48Even though the numerators and denominators are different, the fractions are the same
01:52or equal to each other, which make two-eighths and one-fourth equivalent fractions.
01:59Let's take a look at another math concept.
02:01This is fun stuff!
02:04Here we have one whole circle and the fraction 1 over 1.
02:07This might seem strange because there is one complete circle with no separate parts colored.
02:12Should this really be just the number 1?
02:15Or is 1 over 1 correct?
02:18The answer is both are correct.
02:201 over 1 is the same as saying the whole number 1.
02:24We have one part over one whole.
02:29Look here.
02:30The circle is now broken into three equal pieces.
02:33The numerator shows all the green parts, which is 3, and the denominator shows the total
02:37amount of pieces, which is also 3.
02:40The fraction is still one whole circle.
02:43Three-thirds is the same or equal to 1.
02:47Wow!
02:48That is awesome stuff!
02:51Now let's look at something really cool.
02:55Here we have three circles and we are going to write or express this as a fraction.
03:02Here we have a fraction of 3 over 1.
03:05This might look kind of weird because the denominator is smaller than the numerator.
03:09With the earlier problems we were looking at fractions or parts of one whole.
03:14The denominator of 1 shows the whole cake.
03:17We have one whole piece, but the interesting part is that we have three whole cakes, and
03:22that is why the numerator shows 3.
03:24So 3 over 1 is equal to the whole number 3.
03:29You might be thinking that is kind of hard to understand.
03:31Shouldn't the fraction be 3 over 3 because there are three whole circles?
03:36Well, that is not true because we just learned that 3 over 3 is the same or equal to 1.
03:45So in order to write three whole circles into a fraction you would write 3 over 1.
03:50Great job!
03:53Let's take a look at a problem you might encounter.
03:58Here we have the fraction on the left 1 half is equal to blank over 4.
04:04We need to find the numerator that goes in the empty box.
04:07There are different ways you can do this, but I want to use a drawing.
04:12Here are two rectangles.
04:14The rectangle on the left will be the one representing the 1 half.
04:17To make the rectangle represent 1 over 2, we need to divide it into two pieces because
04:22the denominator is 2.
04:27The one green part is the number 1 in the numerator.
04:31We now have represented the fraction 1 half.
04:34The rectangle on the right, we don't know what the numerator will be, but we do know
04:37that the fractions are equal because of the equal sign.
04:41So let's start by making the rectangle look like the fraction on the left.
04:47Both rectangles are showing 1 half.
04:49We know that the denominator is 4 on the right side, which says that the rectangle should
04:53be divided into four equal parts.
04:56Let's divide the two parts we have in half to get four equal parts.
05:02We now have four parts.
05:03To find the numerator, all we need to do is count the green parts of the rectangle.
05:08How many are there?
05:10We have two green parts of the rectangle.
05:13So the fraction is 1 half equals 2 fourths.
05:18Great job!
05:19By using a drawing, we figured out how to find a missing number in equivalent fractions.
05:24You guys rock!
05:28Thanks so much guys for all your help.
05:30The T-Rex party went well and nobody got eaten, so that's good.
05:34I am exhausted.
05:35We will see you guys later.
05:37Goodbye!