order the ratios from least to greatest.
1.) 6:3, 13 to 4, 19/2, 15 to 10, 8:2
2.) 7 to 15, 9:12, 6/18,5 to 9, 4/8
Plz help me, its my last question
To order the ratios from least to greatest, we need to compare them and determine their relative values. Let's start with the first set of ratios:
1.) 6:3, 13 to 4, 19/2, 15 to 10, 8:2
To make it easier to compare the ratios, we can convert them all to fractions.
1.) 6:3 = 6/3 = 2/1
2.) 13 to 4 does not simplify to a fraction, so we'll leave it as it is for now.
3.) 19/2 stays as it is since it's already in fraction form.
4.) 15 to 10 = 15/10 = 3/2
5.) 8:2 = 8/2 = 4/1
Now we can compare these fractions to determine their order:
2/1, 13 to 4, 19/2, 3/2, 4/1
To compare fractions, we need to find a common denominator. In this case, the common denominator is 2.
2/1 = 4/2
13 to 4 = 13/2
Now our list is:
4/2, 13/2, 19/2, 3/2, 4/1
Comparing these fractions:
4/2 < 13/2 < 19/2 < 3/2 < 4/1
Now let's move on to the second set of ratios:
2.) 7 to 15, 9:12, 6/18, 5 to 9, 4/8
Converting them to fractions:
1.) 7 to 15 = 7/15
2.) 9:12 = 9/12 = 3/4
3.) 6/18 stays as it is since it's already in fraction form.
4.) 5 to 9 = 5/9
5.) 4/8 simplifies to 1/2
Now we can compare these fractions:
7/15, 3/4, 6/18, 5/9, 1/2
We need to find a common denominator to compare these fractions. The common denominator for this set is 180 (which is the least common multiple of 15, 4, 18, 9, and 2).
Multiplying the numerators and denominators accordingly:
7/15 = 84/180
3/4 = 135/180
6/18 = 30/180
5/9 = 100/180
1/2 = 90/180
Now our list is:
84/180, 135/180, 30/180, 100/180, 90/180
Comparing these fractions:
30/180 < 84/180 < 90/180 < 100/180 < 135/180
So, the ordered list of ratios from least to greatest for each set is:
1.) 4/2, 13/2, 19/2, 3/2, 4/1
2.) 30/180, 84/180, 90/180, 100/180, 135/180