00:00in this question we are asked to arrange the following fractions 5 by 9 4 by 7 3 by 5
00:05and
00:052 by 5 in ascending order which means from small to big so there are two methods by which we
00:11can
00:11solve it here first is we can pick any two numbers like 4 by 7 and 2 by 5 now
00:17take this denominator
00:19to this numerator cross multiply this 5 into 4 7 into 2 the number with left side one becomes 5
00:274
00:28are 20 and right side becomes 7 into 2 14 20 is bigger than 14 so we can say 4
00:35by 7 is bigger than
00:362 by 5 this is the slow method now there is fast method we can see that half of 5
00:42is 2.5 half of
00:445 is 2.5 7 3.5 9 4.5 in everyone there is 0.5 added so we can
00:52write it at 4.5 plus 0.5 upon my 9 3.5
00:57plus 0.5 upon my 7 2.5 plus 0.5 upon my 5 in this one 0.5 is
01:03subtracted 2.5 minus 0.5 upon my 5 now
01:08separate it 4.5 upon 9 is equal to 1 upon 2 plus 0.5 upon my 9 this also
01:17becomes 1 upon 2 0.5 upon my
01:20saying 1 upon 2 plus 0.5 upon 5 1 upon 2 minus 0.5 upon 5 now we can
01:27compare here number is subtracted from
01:32half in other side so this one will be the smaller which means 2 by 5 smaller then 0.5
01:40upon 9 in the
01:41smaller addition this one is a little larger than the smaller numerator denominator becomes the larger
01:48the number becomes so this is large and this is larger so this becomes this next this afterward
01:58and this is the last this is the correct ascending order of these
02:02change
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