List these numbers from least to greatest 3/4,5/8,6/7,6/11,7/10,8/9,

Change them to decimals by dividing the numerator by the denominator.

or your make them have all the same denominator both ways are equally as correct.

To list these numbers from least to greatest, we need to compare their values. However, comparing fractions can sometimes be tricky. A common approach is to find a common denominator for all the fractions, which allows for easier comparison.

Here's how you can list the given fractions from least to greatest:

Step 1: Find a common denominator
To find a common denominator for fractions, you need to find the least common multiple (LCM) of all the denominators. In this case, the denominators are 4, 8, 7, 11, 10, and 9.

To determine the LCM, you can list the multiples of each denominator until they have a common multiple:

Multiples of 4: 4, 8, 12, 16, 20, ...
Multiples of 8: 8, 16, 24, 32, 40, ...
Multiples of 7: 7, 14, 21, 28, 35, ...
Multiples of 11: 11, 22, 33, 44, 55, ...
Multiples of 10: 10, 20, 30, 40, 50, ...
Multiples of 9: 9, 18, 27, 36, 45, ...

From these lists, we can see that the smallest common multiple is 168. So, we will use 168 as the common denominator for all the fractions.

Step 2: Convert the fractions to have the common denominator
To convert each fraction, we need to multiply the numerator and denominator by the same factor so that the denominator becomes 168.

3/4 = (3 × 42) / (4 × 42) = 126/168
5/8 = (5 × 21) / (8 × 21) = 105/168
6/7 = (6 × 24) / (7 × 24) = 144/168
6/11 = (6 × 15) / (11 × 15) = 90/168
7/10 = (7 × 16) / (10 × 16) = 112/168
8/9 = (8 × 18) / (9 × 18) = 144/168

Step 3: Order the fractions from least to greatest
Now that all the fractions have the same denominator, we can simply compare their numerators to determine their order.

Ordering the fractions from least to greatest:

90/168 < 105/168 < 112/168 < 126/168 < 144/168 < 144/168

Simplifying the fractions further:

90/168 = 15/28
105/168 = 5/8
112/168 = 7/12
126/168 = 3/4
144/168 = 6/7
144/168 = 6/7

So, the fractions listed from least to greatest are:
15/28, 5/8, 7/12, 3/4, 6/7, 6/7