Order the fraction from least to greatest.
A. 2/7 , 1/3 , 3/4 , 4/9
B.1/2 , 2/3,3/4,4/5
C.5/8,11/12,7/4,9/16
D.1/2,5/6,2/5,7/10
F.3/4,2/9,13/18,11/12
G.2/5,5/12,3/10,1/6
H.3/7,4/9,4/5,5/8
I.3/14,5/18,7/16,1/12
J.2/3,3/7,6/10,1/5
K.9/8,7/2,13/6,5/4
L.1/2,5/12,7/6,9/4
M.19/40,13/20,11/10,17/30
N.4/5,5/6,1/2,2/3
Find the lowest common denominator. The just sort the numerators.
For example,
5/8,11/12,7/4,9/16
= 30/48, 44/48, 84/48, 27/48
Now you just have to sort 30,44,84,27
do the others in like wise.
Ordering the fractions from least to greatest:
A. 2/7, 1/3, 3/4, 4/9
B. 1/2, 2/3, 3/4, 4/5
C. 9/16, 5/8, 11/12, 7/4
D. 2/5, 1/6, 3/10, 5/12
F. 2/9, 11/12, 3/4, 13/18
G. 1/6, 2/5, 3/10, 5/12
H. 4/9, 3/7, 4/5, 5/8
I. 3/14, 1/12, 5/18, 7/16
J. 3/7, 1/5, 2/3, 6/10
K. 7/2, 5/4, 13/6, 9/8
L. 5/12, 1/2, 7/6, 9/4
M. 13/20, 17/30, 11/10, 19/40
N. 1/2, 2/3, 4/5, 5/6
To order the fractions from least to greatest, you need to compare the numerators and denominators of each fraction.
Let's go through the options one by one:
A. 2/7, 1/3, 3/4, 4/9:
To order these fractions, you can see that 1/3 is the least because the smaller the denominator, the greater the fraction. Next, you can compare the fractions 2/7, 3/4, and 4/9. To do this, you can cross-multiply to get the same denominator for all the fractions and compare the numerators.
By cross-multiplying, we get:
2/7 = 18/63
3/4 = 47/63
4/9 = 28/63
Now, you can see that 18/63 (2/7) is the least, followed by 28/63 (4/9), and 47/63 (3/4) is the greatest.
Therefore, the correct order is: 2/7, 4/9, 3/4, 1/3.
You can apply the same process to compare the fractions in the remaining options and determine the correct order.