which of the following fractions is the least?

Question

7/12 5/6 2/3 5/9 3/4 and can you please explain how the answer is true?

for those who are saying that i am goofing of at math class... i am not. i am in advanced math. and this is a take home test. one of the smartest in class. i just do not understand this question and i will ask my teacher tomorrow.

Answer 1

7/12 -- 21/36
5/6 -- 30/36
2/3 -- 24/36
5/9 -- 20/36
3/4 -- 27/36

You convert each fraction using a common denominator (a number that all of the original denominators will go in to, which is 36). Put 36 as the new denominator for all the fractions. (Setting it up like I did above seems to be easiest for me) For example, for 5/6 you would say "6 goes into 36, 6 times. Or another way to say it is what multiplied by 6 equals 36? 6 right!! Then 6 multiplied by 5 equals 30. Put 30 as the numerator over 36. Therefore the new fraction is 30/36 (which by the way is the same as 5/6)

Another example: for 2/3. What times 3 equals 36? 12. So 12 multiplied by 2 (the original numerator) equals 24. Put 24 over 36 (your new denominator). 2/3 = 24/36.

Do the same for all of the original fractions. How many times does the original denominator go in to 36? That number times the original numerator is the new numerator you put over 36. Get it? Hope I explained it alright. It's a little hard to explain it by typing instead of telling you face-to-face.

Anyway, therefore, once all fractions have been converted just look at the numerator. The new fraction with the lowest numerator is the lowest fraction: 20/36 (which is 5/9)

5/9 is the lowest fraction. You can use the fractions that you have converted to find the highest fraction also, which happens to be 5/6.

Answer 2

its 5/9. Its the largest difference between the numerator and denominator depending on how high the numerator is . Compare each to 1. So by taking each one seperate you take the first one...7/12. 12/12 = 1 so 7 of 12 is a little more than half since 6/12 would be half of 1. Now lets go to the next equation, taking the next one you say 6 = 1. So 6/6=1. So 5 of 6 or 5/6 is almost 1 therefore that fraction is pretty high. Further we say 3/3 = 1 so 2/3 is pretty close to 1 and again the fraction is pretty high . Then comes the tricky one 5/9. Both 5/9 and 7/12 are close since they are both so close to eachother. They are both a little more than half of the the fraction. half of 12 is 6/12 and half of 9 is 4.5 (or 4 and 1/2) so the question is which is less of a fraction 5/9 or 7/12. Well 5 X2= 10, and 7X2 equals 14. It has to be the 5/9 as the smallest because 10 is closer to the 9 bottom number in the fraction than 14 is to 12 in the other fraction.

Answer 3

find a common denominator for all the fractions. Convert all to the same denominator:

36 is a common denominator

7/12 * 3/3 = 21/36
5/6 * 6/6 = 30/36
2/3 * 12/12 = 24/36
5/9 * 4/4 = 20/36
3/4 * 9/9 = 27/36

20/36 has the lowest numerator, so, 5/9 is the least.

Answer 4

You solve this problem by determining the lowest common denominator. So find a number for the denominator that all of the denominators are able to be equally divisibile by. And the answer to that is 36 (3 x 12; 6 x 6; 12 x 3; 4 x 9; 9 x 4) Multiply the numerator and the denominator by the same correction and determine the smallest fraction.

Answer 5

7/12 = .583333...
5/6 = .833333....
2/3 = .66666.....
5/9 = .55555.....
3/4 = .75
.55555.... = 5/9 is the least
I can show you how to figure it out with fractions; for instance, compare 7/12 and 5/9:
7/12 = 7/(3*2*2) and 5/9 = 5/(3*3)
lets put them under a common denominator:
[7/(3*2*2)][3/3] = (7*3)/[(3*2*2)*(3)] = 21/36
[5/(3*3)][(2*2)/(2*2)] = (5*[2*2])/(3*3*[2*2]) = 20/36, so 5/9 is lower (20/36 < 21/36)

Answer 6

5/9

Using most common denominator of 36 divided by 9 = 4 x 5 is lowest at 20

Answer 7

The answer is 5/9. Get a common demoninater for each fraction.

Answer 8

5/9

The lowest common denominator is 36 making the fractions: 21/36; 30/36; 24/36; 20/36 & 27/36.

Answer 9

7/12 :) i just subtract the denominator from the numerator. like 12-7=5, 5-6=1 and so on. and wichever is the greatest answer. like 1 and 7...1 is less than seven so it is bigger.

Answer 10

listen kid we were all in elementary school at one point, so figure it out on your own, and instead of goofin off in math class PAY ATTENTION!!!!! cause when it comes time for high school big fella things are different you dont show how you got the answer and right note down, then you FAIL! so gettin answers from someone right offf the bat is gunna hit you hard when high shcool roles around.