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## Arithmetic

### Course: Arithmetic > Unit 4

Lesson 1: Fractions intro# Cutting shapes into equal parts

Lindsay figures out if 4 pieces of pie are each equal to 1/4 of the pie. Created by Lindsay Spears.

## Want to join the conversation?

- before humans discovered gravity were we just floating around...?(20 votes)
- No, gravity still existed before humans discovered it.(18 votes)

- is 1/4 = to 1/8?(6 votes)
- 1/8 is actually half of 1/4. Interesting!

That might sound strange because 8 is 2 times 4. But remember we are talking about fractions. If you imagine a pie that has been divided into 4 equal pieces and a pie of the same size that is divided into 8 equal pieces, each piece of the second pie is going to be half the size of the pieces in the first pie.

Think of it another way with only one pie. If you cut the pie into quarters (1/4) so you have 4 equal pieces of pie, and then cut each of those quarter pieces in half, you would have 8 pieces of the pie - each slice is now one eighth (1/8) of the pie. As you cut the quarter (1/4) in half, the eighth (1/8) is half the size of the quarter.

Did that help?(11 votes)

- From0:01to1:35why didn't she use a pizza as the representation.(6 votes)
- Pizza or pie, they're both
**circles**. So it doesn't matter which of those we use as a circle representation.(2 votes)

- i don't got a question(5 votes)
- no body has a question.(1 vote)

- What is the line between fractions called?

It's called the vinculum, but it can also be called the fraction bar or division bar.(3 votes) - The bottom row is called the denomerater.(3 votes)
- why do we say 2/8 when there is 1 pie?:'(3 votes)
- 2/8 means two out of eight equal-sized pieces of a pie. It doesn't mean eight pies.

Hope this helps you 44968!(1 vote)

- huh what are you talking about(3 votes)
- hello can i do it without watching the video(3 votes)
- Yes.Well I think you can but that's what I do(1 vote)

- how do i divide a pentagon into 10 equal shares?(1 vote)
- If it's a regular pentagon, you can first trace a line from each vertex to the center. This splits it into 5 triangles. Then, draw a line connecting the halfway point of the outside side of these triangles to the center. This creates ten equal right angled triangles.(4 votes)

## Video transcript

- [Voiceover] Is each piece equal to 1/4 of the area of the pie? So we have a pie, and it has one, two, three, four pieces. So it does have four pieces. So is one of those pieces
equal to 1/4 of the pie? Well let's talk about what we mean when we have a fraction like 1/4. The one in the fraction, the numerator, represents a number of pieces. So here, one piece. One piece of pie. And then the four, when
we're talking about fractions is always talking about
the number of equal size. Equal size pieces. So in this case four equal size pieces. So the question is, is each piece one of
four equal size pieces? Let's look at the pie. I think it's pretty clear that these pieces on the end are not equal, they are smaller than the two pieces in the middle. If you love cherry pie, you are not happy about
getting this end piece. Because it is smaller. It is not an equal size piece. So yes, each piece is
one out of four pieces. But it is not one of
four equal size pieces. Therefore it is not 1/4. So our answer is no. No, no, no. Each piece is not 1/4 or an equal share of the pie.