Answer :
The fractions have been arranged in order from smallest to largest as 1/8< 1/4< 3/8< 9/16< 3/4< 1.
How to compare fractions with different denominators?
Fractions with different denominators can be compared by making the denominators the same. For example, take 1/4 and 1/2. The LCM of these fractions is 4. Now we can alter the fractions so that they have the same denominators as follows:
1/4 and 2/4
We can see that 2/4 is greater than 1/4.
We can arrange the given fractions in order from smallest to largest as shown below:
The given fractions are: 3/4, 1/8, 9/16, 1, 1/4, 3/8
The lowest common multiple of these fractions is 16.
We can convert the fractions as shown below:
12/16< 2/16< 9/16< 16/16< 4/16< 6/16
Now we can arrange them in ascending order easily as shown below:
2/16, 4/16, 6/16, 9/16, 12/16, 16/16
or 1/8< 1/4< 3/8< 9/16< 3/4< 1
Therefore, we have arranged the fractions in order from smallest to largest as 1/8< 1/4< 3/8< 9/16< 3/4< 1.
Learn more about the lowest common multiple here: https://brainly.com/question/16054958
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