find equivalent fractions with a common denominator and order from least to greatest.1/2 4/9 4/18
18 is the common denominator.
http://www.mathsisfun.com/equivalent_fractions.html
3/27,1/27/,2/27
To find equivalent fractions with a common denominator and order them from least to greatest, you first need to identify a common denominator that all the fractions can be converted to.
Let's start with the fractions 1/2, 4/9, and 4/18.
To find a common denominator, you can determine the least common multiple (LCM) of the denominators, which is the smallest number that is a multiple of both denominators.
The denominators we have are 2, 9, and 18. To find the LCM, we can start by listing the multiples of each denominator until we find a common multiple.
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, ...
Multiples of 9: 9, 18, 27, ...
Multiples of 18: 18, 36, 54, ...
From the lists above, we can see that 18 is the smallest common multiple. Thus, we will use 18 as a common denominator.
Now, we need to convert each fraction to have a denominator of 18.
1/2 can be converted to 9/18 by multiplying the numerator and denominator by 9.
4/9 already has a denominator of 9, so no conversion is needed.
4/18 can be simplified to 2/9 by dividing both the numerator and denominator by 2.
So, the equivalent fractions with a common denominator are: 9/18, 4/9, 2/9.
Next, let's order these fractions from least to greatest.
To order fractions, we compare their numerators after they have the same denominator.
Comparing the numerators of 9/18, 4/9, and 2/9, we find the following order:
2/9 < 4/9 < 9/18
Therefore, the fractions ordered from least to greatest are: 2/9, 4/9, 9/18.