1. There are two identical grain silos on Gabe's garden. One is 1/3 and the other is 1/2 full. Gabe wants to put all the grain in one silo. Will the silo be full? Explain.2. Justin had 2/3 of a book left to read. He needs to finish the book so that he can take his Reading Counts test. He read 1/4 of what he had left last night. What part of the entire book did he read last night.
1. 1/3= 33% (1 divided by 3 is .33333, which is the same as 33%) 1/2= 50% (1 divided by 2 is .50, which is the same as 50%) so 33%+50%= 83%, not 100% so the silo will not be full. 2. 2/3= .666666% (2 divided by 3 is .666666, which is the same as 66.666%) He had 67% left to read. 1/4= 25% (1 divided by 4 is .25, which is the same as 25%) So you need to find out how much 1/4 (25%) of 2/3 (67%) is. so 2/3 X 1/4= 2/12 when simplied it is 1/6
1.) The silo will not be full. 1/3 + 1/2 = 5/6 full .... it needs 1/6 more. 2.) He has read 1/4 of the remaining (2/3), then subtract, 2/3 - 1/4 = 5/12 And since he has already read 1/3 of the book (1 - 2/3), the he has read 1/3 + 5/12 = 9/12 all in all ... I hope i got it right...
1.... Add 1/3 and 1/2 The common denominator is 6 1/3 = 2/6 and 1/2 is 3/6 Add them together and it is 2/6 plus 3/6 equals 5/6 The silo will not be full, so the two silos can be combined. 2....This one is a little harder. We need to find 1/4 of 2/3. Remember OF means multiply 1/4 X 2/3 = 2/12 Justin read 1/6th of the book last night.
1. It would not be full because if you add 1/3+1/2 it equals 5/6. first you find the common denominator. 3 and 2 so it's 6. so to change 3 into six, you multiply it by 2 and you need to do it for the top too so it turns out to be 2/6. then for 1/2, 2 need to be multiplied by 3 to make six so you do that to the top too so you get 3/6. then 2/6+3/6 is 5/6. you add them because you want to find out if all the grain will fit in one silo. there is 1/6 space left so it is not full yet. 2. justin read 2/12 or simplified: 1/6 of the book last night. so since he read 1/4 OF what he had left which is 2/3. you multiply 1/4 with 2/3. then you get the answer. 2/12, if it is simplified it is 1/6 since you divide the top and bottom by 2. hope this helps a bunch.
1. No, 1/2 is equal to 3/6 and 1/3 is equal to 2/6 and so you add them up and get 5/6....that means that the silo is almost full, but not full 2. 2/3*1/4 is 2/12 or 1/6 of the book that he read that night....because you want to know the fraction of the entire book, and 2/3 of it was left to read, you multiply the 2/3 by the amount he read of that 2/3, which is 1/4, to get 1/6 of the entire book
