Question:
representing fractions help?
HM
2013-08-12 14:19:10 UTC
How would i represent 1/5 of 2/3 in a rectangle? I don't understand if anyone can help me. Thank you!
Four answers:
2013-08-12 14:38:02 UTC
Get a ruler in your hands. Measure things until you start to understand how a ruler works. Measure some stuff and figure out where the center is. Say you measure a book and it's 7/8" thick. You look at your ruler and see that every eighth is divided into two sixteenths, so obviously half of 7/8" is going to be 7/16". If you write that out you have 1/2 x 7/8 = 7/16. And you notice that 1/2 is divided into 2/4 and then into 4/8 and so on, so you can convert anything to anything by multiplying all the numbers on top and then all the numbers on bottom.



Other rulers are divided into 10 and 100 parts. But an inch is still and inch, so anything on one ruler can be translated to the other ruler. A half inch on one ruler is 5/10 or 50/100 on the other. An eighth inch is just 12.5 marks when you have 100 marks per inch. A metric ruler divides an inch into 25.4 parts, so a half inch would be 12.7 of those parts. Pretty simple, isn't it? Practice this a bit and people will think you went to wizard school.
lenpol7
2013-08-12 14:33:43 UTC
I don't fully understand eithr.!!!!



It could be the Area which is 1/5 x 2/3 = 2/15



Where '1/5' is the length of one side and '2/3' is the length of the other side.





Another way is to draw a rectangle. .

Inside the rectangle divide it into thirds. (Two vertical evenly spaced lines - divides the rectangle into three evenly spaced sub-rectangles)..

Then with in each sub-rectangle, divide it into fifths. (Four vertical evenly spaced lines - divides the sub- rectangle into five evenly spaced sub-rectangles).



Across the original rectangle there are now fifteen evenly spaced sub-sub-rectangles.

Taking 10 of those sub-sub-rectangles, that will cover 2/3 of the original rectangle. From those 10 sub-sub-rectangles, we take a fifth, which you will find to be two(2) sub-sub-rectangles.



Arithmetically it is shown as 1/5 x 2/3 = 2/15

Which means 2 sub-sub-rectangles out of all fifteen sub-sub-rectangle.



Hope that helps!!!!
FlashRubino
2013-08-12 14:30:26 UTC
Divide the rectangle into 5 equal vertical bars and 3 equal horizontal bars, so you have a grid with 15 boxes. Shade the area including 1 of the five vertical bars where it iintersects with two of the horizontal bars.



[ | | | | ]



___

|__|

|__|

|__|



making something like this:



|##|



You will shade i 2 of the 15 boxes, showing that 1/5 of 2/3 is 2/15 = 2/3 of 1/5
Joe
2013-08-12 14:33:12 UTC
the numeric answer is just 1/5 * 2/3 .....

do you want the graphical answer ???



cut the rectangle into three equal parts (1/3's)



take two the the pieces (next to each ohter) and

draw four lines to cut it into five equal sections...





color ONE of the five sections...



that will be 1/5 of 2/3 of the rectangle.


This content was originally posted on Y! Answers, a Q&A website that shut down in 2021.
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