Place the following set of numbers in ascending order. -2/11, 5/8, 1/8, -1/9, 4/9
Well start by putting the most negative number first.
5/8 is bigger than 4/9. And 4/9 is certainly bigger tnan 1/9.
Give it a try and I'll tell you if you get it right
-1/9, -2/11, 1/8, 4/9, 5/8
Not quite. -2/11 (-18/99) is more negative than -1/9 (-11/99)
-2/11,-1/9 ,4/9, 1/8, 5/8
You've got it! The correct order is:
-2/11, -1/9, 1/8, 4/9, 5/8
To solve this, we compare the fractions from least to greatest by using a common denominator. In this case, we can use 11 as the common denominator for all the fractions. Then we can convert all the fractions to have that denominator:
-2/11 = -22/121
-1/9 = -11/99
1/8 = 11/88
4/9 = 44/99
5/8 = 55/88
Now that the fractions have the same denominator, we can compare their numerators to determine their order. The fraction with the smallest numerator is the least, and the fraction with the largest numerator is the greatest. Therefore, the ascending order is:
-2/11, -1/9, 1/8, 4/9, 5/8