Place the following in ordered from least to greatest:
3/5, 9/12, 6/8, 5/6
convert to common denominator and compare
You need to get common denominators so that you can relate each fraction to the other ones.
Another way would be to write each as a decimal.
The first 3/5 = .6
true. also, u can reduce each fraction to find common denominator faster and less messily
To compare and order fractions, we need to find a common denominator for all the fractions involved. The common denominator is the least common multiple (LCM) of the denominators.
Let's identify the denominators for the given fractions:
3/5 ---> denominator = 5
9/12 ---> denominator = 12
6/8 ---> denominator = 8
5/6 ---> denominator = 6
Now, we need to find the LCM of 5, 12, 8, and 6.
The multiples of 5 are: 5, 10, 15, 20, 25, ...
The multiples of 12 are: 12, 24, 36, ...
The multiples of 8 are: 8, 16, 24, 32, ...
The multiples of 6 are: 6, 12, 18, 24, 30, ...
Looking at the lists above, we can see that the LCM of 5, 12, 8, and 6 is 24.
Now, we need to convert all the fractions to have a denominator of 24. We do this by multiplying the numerator and denominator of each fraction by the same value.
3/5 can be multiplied by 24/24, giving us 72/120.
9/12 can be multiplied by 2/2, giving us 18/24.
6/8 can be multiplied by 3/3, giving us 18/24.
5/6 can be multiplied by 4/4, giving us 20/24.
Now, we can compare the fractions:
18/24, 18/24, 20/24, 72/120
Since the numerators are now comparable, we can simply compare them.
From least to greatest:
18/24 = 18/24
18/24
20/24
72/120
Therefore, the fractions in order from least to greatest are:
18/24, 18/24, 20/24, 72/120