Question Video: Solving Word Problems by Finding Unit Fractions of Shapes | Nagwa Question Video: Solving Word Problems by Finding Unit Fractions of Shapes | Nagwa

Question Video: Solving Word Problems by Finding Unit Fractions of Shapes Mathematics • Third Year of Primary School

Madison is going to share this chocolate bar with her 7 friends. There are _ squares in total. Each person will get _ square(s) of chocolate. Find the denominator. Each person will get 1/_ of the chocolate bar.

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Video Transcript

Madison is going to share this chocolate bar with her seven friends. There are what squares in total. Each person will get what square or squares of chocolate. Find the denominator. Each person will get one what of the chocolate bar.

We’re shown a picture of a chocolate bar. And we’re told that Madison is going to share this bar with her friends. Now, we’re told the number of friends that she’s going to share it with is seven. So, if we include Madison, because she’s sharing it, that’s eight people together, isn’t it? Now, this question is all about fractions. And fractions are special numbers that help us to show part of a whole. And as Madison is going to be splitting up this chocolate bar into different parts, a fraction is a good way to describe it, isn’t it?

Now, to help us think about what fractions we can see, we’ve got some sentences to complete. And the first one is about the number of squares that there are in the chocolate bar altogether. There are what squares in total. Let’s count them. One, two, three, four, five, six, seven, eight. There are eight squares in total. This is quite useful, isn’t it? Remember how many people that Madison wanted to share her chocolate bar between. It was eight, wasn’t it? So, she has eight squares, and she wants to share them between eight people.

Onto our second sentence. Each person will get what square or squares of chocolate. Well, we know if there are eight squares and Madison wants to share them between eight people, everyone’s going to get one square each. Each person will get one square of chocolate.

Now, we can use the information that we’ve been given to work out what fraction of the chocolate bar each person gets. Each person will get one what of the chocolate bar. This number here is our fraction. There are two numbers, and there’s a line in between. The top number or the numerator in a fraction tells us the number of parts that we’re talking about. And we know that each person is going to get one part of the chocolate bar or one square. That’s where this number one comes from on the top.

But the denominator or the bottom number in this fraction is missing. The denominator shows us the number of equal parts that the whole amount has been split into. In other words, each person will get one out of how many? Can you see the sentence that’s gonna help us with this? We found the denominator when we added up the number of squares there were in total. There were eight, weren’t there? Each person will get one out of eight squares. And we read this fraction as one-eighth.

If Madison is going to share this chocolate bar with her seven friends, we worked out that was eight people altogether. There are eight squares in total. And because there are eight people, we know each person will get one square of chocolate. And so, we can say each person will get one-eighth of the chocolate bar.

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