How To Add Fractions Common Core

a hexagon which is a polygon with sixsides is shown below. notice how for this hexagon, because all of the sides have the same length, we can also call this a regular hexagon. also notice that the hexagon has been cut or partitioned into six equal pieces. for number one, we're asked to shade an area

How To Add Fractions Common Core, that is greater than one-half and less than one. so the entire hexagon represents one, we want to shade enough pieces so that we have a model for a fractionthat's greater than one-half and less than one. so let's begin shading. so this would be

one-sixth, which is not greater than one-half and less than one, so we keep shading. so again this is one-sixth, and now we have two-sixths, which is still not greater than one-half and less than one. but i do want to pause here for a moment. you may recognize that if we were to cut, or partition this hexagon into three equal pieces, forexample here, here and here. notice how two-sixths is also equal to one-third. either waythis fraction is still not greater than one-half and less than one, so we keep shading.

so we have two-sixths and now we shade another piece, we have three-sixths, which is also equal to one-half. notice how this is still not greater than one-half and less than one, so we keep shading. so we have three-sixths, and now we have four-sixths. and notice how this fraction is greater than one-half and less than one, so we could stop here. but take a look at number two, it says what fraction of the hexagon is shaded? so we could say four-sixths of the hexagon is shaded. but also notice how if we take a look at how the hexagon is cut, or partitioned using these orangesegments,

notice how four-sixths is also equal to two-thirds. so we could also express this fraction astwo-thirds. this is also not the only model that we can create to model a fraction that is greater than one-half and less than one. notice how if we shade another piece here, now we have one, two, three, four, five, six, which is still greater than one-half andless than one. so if we use this as our model, we need tochange number two and the fraction model now

would be five-sixths. so there is more than one way to complete this question correctly. i hope you found this helpful.