yes
When something is cut into equal pieces, (think of a pie), the pieces are larger the fewer pieces there are. If the pie is cut in half, that is an entire HALF of the pie one has to eat. But if the pie is cut into three equal pieces, there are more pieces, but they are smaller. So, one fourth of the pie would be even smaller because you are getting ONE piece of a pie that is cut into FOUR pieces. The bottom number of the fraction is how many equal sized pieces there are, and the top number is how many you are getting.
Imagine that you have a pie. If you cut that pie into 10 equal pieces and take four of them, it will be a lot more pie that if you cut the pie into 100 equal pieces and take four of them. If you cut the pie into 10 pieces, each piece is a tenth of the pie. If you cut the pie into one hundred pieces, each piece will be a hundredth of the pie. You can really only tell which fraction is greater when they have the same denominator. 4/10 = 40/100. That's ten times greater than 4/100
Fourths are much bigger than tenths. They are so much bigger that it only takes FOUR of them to make one whole something. Tenths are smaller; it takes TEN of them to make the same whole something. Make 2 identical strawberry rhubarb pies. Cut one into FOUR equal pieces. Cut the other into TEN equal pieces. If you give out a piece from the one cut into 4 pieces, and a piece from the one cut into 10 pieces, which piece will be larger? The first pie is cut into fourths, and the second is cut into tenths.
Cut the cake lengthwise and then crosswise. Stack the four pieces and then cut crosswise at one third the length and again at two-thirds the length. Done!
You can cut a cake into 16 pieces with 5 cuts by first making a cross-shaped cut dividing the cake into four equal pieces, then cut each of the four pieces in half horizontally and vertically with the last cut.
Cut a pie into four equal pieces. Each piece is one quarter of a pie.
This is a trick question. Normally if you wanted to cut a cake into 8 equal pieces you would do so with more than 3 cuts. However, it is possible to do it in 3 cuts if you have a sufficiently long knife. By cutting the cake with two perpendicular cuts you can easily get 4 equal pieces. Then you rearrange these 4 pieces so that they are in a line, with all the pointy ends aligned in the same direction. Then you can cut all four pieces in half with one more cut. But it takes a long knife.Answer:Alternately two perpendicular cuts to make 4 equal pieces and a horizontal cut at the middle of the cake to make it into two equal layers each with 4 equal pieces.But if the cake has frosting on top, then the top pieces can't really be exactly equal to the bottom pieces which won't have frosting on top. Nonetheless, it's a good alternative. And not all cakes are frosted.
It is not possible to cut a pie into seven pieces of equal area. Eight pieces and six pieces can both readily be done.
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