If arranged on a number line least to greatest what would be the correct arrangement for 7/5,15/4,3/2,11/4,13/3
use a common denominator of 60, and it will be easy
7/5 = 84/60
15/4 = 225/60
and so on
Now just compare numerators
To arrange the given fractions in order from least to greatest, we need to compare their values. One way to compare fractions is by finding a common denominator and then comparing the numerators.
Let's find a common denominator for the fractions 7/5, 15/4, 3/2, 11/4, and 13/3. The least common multiple (LCM) of the denominators 5, 4, and 3 is 60.
Now, we'll convert each fraction to have a denominator of 60:
7/5 = (7/5) * (12/12) = 84/60
15/4 = (15/4) * (15/15) = 225/60
3/2 = (3/2) * (30/30) = 90/60
11/4 = (11/4) * (15/15) = 165/60
13/3 = (13/3) * (20/20) = 260/60
Now, let's arrange these fractions in ascending order based on their new values:
84/60 < 90/60 < 165/60 < 225/60 < 260/60
Converting them back to their original form:
84/60 = 7/5
90/60 = 3/2
165/60 = 11/4
225/60 = 15/4
260/60 = 13/3
So, the correct arrangement from least to greatest is:
7/5, 3/2, 11/4, 15/4, 13/3.