7/11, -8/6, -6/8, 9/4, 27/25 arrange the rational number in ascending order
If you convert each fraction to a decimal, it will be relatively easy to do.
7/11, -8/6, -6/8, 9/4, 27/25
To arrange rational numbers in ascending order, you need to compare their values and sort them from least to greatest. In this case, let's look at the given rational numbers:
7/11, -8/6, -6/8, 9/4, 27/25
To compare rational numbers, it's helpful to convert them to a common denominator. In this case, we can convert all the fractions to have a common denominator of 100 by multiplying each fraction by an appropriate value. Let's calculate:
7/11 = (7/11) * (100/100) = 700/1100
-8/6 = (-8/6) * (100/100) = -800/600
-6/8 = (-6/8) * (100/100) = -600/800
9/4 = (9/4) * (100/100) = 900/400
27/25 = (27/25) * (100/100) = 2700/2500
Now we have the fractions with a common denominator of 100:
700/1100, -800/600, -600/800, 900/400, 2700/2500
Next, we can simplify these fractions by dividing both the numerator and denominator by their greatest common divisor (GCD). By simplifying, we get:
700/1100 = 7/11
-800/600 = -4/3
-600/800 = -3/4
900/400 = 9/4
2700/2500 = 27/25
Now, we have the simplified fractions:
7/11, -4/3, -3/4, 9/4, 27/25
Finally, we can arrange them in ascending order:
-4/3, -3/4, 7/11, 9/4, 27/25
So, in ascending order, the rational numbers are: -4/3, -3/4, 7/11, 9/4, 27/25.