Please arrange these fractions in ascending order (a.) 1/9, 1/5, 1/12, 1/3 and (b.) 5/9, 2/9, 12/9, 4/9 .?

Answer 1

a 1/12 1/9 1/5 1/3
b 2/9 4/9 5/9 12/9

Answer 2

Fractions in ascending order :
a. 1/12 ,1/9 ,1/5 ,1/3.
b. 2/9 ,4/9 ,5/9 ,12/9.

Answer 3

a. 1/12, 1/9, 1/5, 1/3, 1/2 and b. 2/9, 4/9, 5/9, 12/9

Answer 4

(b) is easy ..let us take it first
ascending order means smallest to the largest
the denominator 9 is common to all the fractions
so all that you have to do is to arrange the numerator in ascending order i.e
2, 4, 5, 12
and just put the value of the common denominator below that,i.e
2/9, 4/9, 5/9, 12/9

ok now to (a)
here the trick is different, the exact reverse
here we a common numerator
denominators are 9,5,12,3
descending order is 12,9,5,3
and the reciprocal of each will be in ascending order
i.e 1/12,1/9.1/5,1/3

You want a mathematical proof then
we have to convert each fraction into having a common denominator
the denomonator of the fractions are 9,5,12,3
9=3*3 ;12=3*4
so LCD = 3*3*4*5=180
multiply each fraction by 180 with LCD being 180
1/9=(180/9 = 20)/180 i.e 1/9 = 20/180
1/5=(180/5 = 36)/180 i.e. 1/5 = 36/180
1/12=(180/12 = 15)/180 i.e. 1/12 = 15/180
1/3=(180/3 =60)/180 i.e. 1/3 = 60/180
now the ascending order is
15/180, 20/180, 36/180, 60/180
i.e 1/12, 1/9,1/5,1/3
same answer as above

Answer 5

a) 1/12, 1/9, 1/5, 1/3.

b) 2/9, 4/9, 5/9, 12/9.

Answer 6

for this, you can either change all of them into having common denominators (the bottom number)
or, you can compare them 2 by 2.

for (a), their lowest common multiple for the denominator will be a pretty big number - 180.
1/9 = 20/180
1/5 = 36/180
1/12 = 15/180
1/3 = 60/180

so asending order will be 1/12, 1/9 , 1/5, 1/3

but there's a easier way actually.
since their numerator is all ones, u can compare them easily.
the bigger the denominator, the smaller the fraction.
imagine the numerator is like, the total number of sweets
then the denominator is like, the total number of ppl sharing the sweets.
so the bigger the number of ppl sharing, the smaller the number of sweets each person will get.

hope u get this illustration :)

for (b),
since all is common denominators of 9.
so u can simply compare to see which is bigger.

it will be 2/9, 4/9, 5/9, 12/9

(more sweets each person! =p )

Answer 7

You've got to be kidding .... you are sitting at a computer !!!!

Look in your accessories menu for the calculator, and type in each fraction as a division function, then arrange the fractions in corresponding order to their decimal equivalents.

Hint, the bigger the bottom number relative the top number, the smaller the fraction.