Place each of the following sets in ascending order.
3/7, -6/7, 1/7, -1/2, 2/7
-6/7, -1/2, 1/7, 2/7, 3/7
You need these fractions over a common denominator, like 14 which is 2*7
then you original list is (numerators only, all denominators 14
6 , -12, 2, -7, 4
so in ascending order the numerators over the common denominator 14 are
-12, -7, 2, 4, 6, (remember the -7/14 is from -1/2)
so put back original denominators
-6/7 , -1/2 , 1/7 , 2/7 , 3/7
as Dakota said
To place the given sets in ascending order, we need to compare and arrange them in increasing order. In this case, the given sets are fractions. Here's the step-by-step process to arrange them in ascending order:
1. Convert all the fractions to have the same denominator, which is the least common multiple (LCM) of the denominators 7 and 2. In this case, the LCM is 14.
- 3/7 is equivalent to 6/14.
- -6/7 remains -6/7.
- 1/7 is equivalent to 2/14.
- -1/2 is equivalent to -7/14.
- 2/7 is equivalent to 4/14.
So, the equivalent fractions are:
6/14, -6/7, 2/14, -7/14, 4/14.
2. Arrange the fractions in ascending order by comparing their numerators:
- -7/14 is the smallest because it has the most negative numerator.
- Then, -6/7 comes next because -6 is smaller than 2.
- 2/14 comes next.
- Moving on, 4/14 comes next.
- Finally, 6/14 is the largest.
Hence, the given sets in ascending order are:
-7/14, -6/7, 2/14, 4/14, 6/14