Arrange the fractions in order if the smallest in size:
3/5, 2/3, 13/30
To arrange the fractions in order from smallest to largest, we need to compare their sizes.
First, let's convert all the fractions to a common denominator. The smallest common denominator for 5, 3, and 30 is 30.
Thus, we have:
3/5 = 18/30
2/3 = 20/30
13/30 = 13/30
Now, comparing the numerators of these fractions:
13/30 < 18/30 < 20/30
So the correct order from smallest to largest is:
13/30, 18/30, 20/30
To arrange the fractions in order from smallest to largest, we need to compare the fractions to each other.
First, let's compare 3/5 and 2/3:
To compare these fractions, we need to find a common denominator. In this case, the common denominator of 5 and 3 is 15.
Converting 3/5 to a fraction with a common denominator of 15, we get (3/5) x (3/3) = 9/15.
Converting 2/3 to a fraction with a common denominator of 15, we get (2/3) x (5/5) = 10/15.
Comparing 9/15 and 10/15, we can see that 9/15 is smaller than 10/15.
Next, let's compare 9/15 and 13/30:
Again, we need to find a common denominator. In this case, the common denominator of 15 and 30 is 30.
Converting 9/15 to a fraction with a common denominator of 30, we get (9/15) x (2/2) = 18/30.
Since 18/30 and 13/30 have the same denominator of 30, we can directly compare the numerators. 13/30 is smaller than 18/30.
Therefore, the correct order from smallest to largest is:
13/30, 9/15 (or 3/5), 10/15 (or 2/3).