Order fractions from greatest to least.
7/8, 8/9, 9/10,10/11
10/11, 9/10, 8/9, 7/8
Change these fractions to decimals.
To order fractions from greatest to least, you need to compare their values. One way to do this is by finding a common denominator for all the fractions. Here's how you can do it:
First, find the least common multiple (LCM) of the denominators:
The denominators in the given fractions are 8, 9, 10, and 11. The LCM of these numbers is 8 * 9 * 10 * 11 = 7,920.
Then, convert each fraction to have the common denominator of 7,920:
To convert the fractions, you need to multiply the numerator and denominator of each fraction by the same number that will make the denominator equal to 7,920.
For 7/8:
Multiply the numerator and denominator by 990 (since 8 * 990 = 7,920):
(7/8) * (990/990) = 6930/7920
For 8/9:
Multiply the numerator and denominator by 880 (since 9 * 880 = 7,920):
(8/9) * (880/880) = 7040/7920
For 9/10:
Multiply the numerator and denominator by 792 (since 10 * 792 = 7,920):
(9/10) * (792/792) = 7136/7920
For 10/11:
Multiply the numerator and denominator by 720 (since 11 * 720 = 7,920):
(10/11) * (720/720) = 7200/7920
Now that all the fractions have the same denominator, you can compare their numerators to determine the order:
7136/7920, 7040/7920, 7200/7920, 6930/7920
From greatest to least, the order is:
7200/7920, 7136/7920, 7040/7920, 6930/7920
Simplifying these fractions further, if required, would give you the final answer.