Select the 2 (TWO) fractions that have an lcd of 12
A. 1/4
B.3/8
C.5/6
D.3/5
Factors of 12:
1, 2, 3, 4, 6, 12
To find the least common denominator (LCD) of fractions, we need to find the smallest multiple that is a common multiple of the denominators.
The denominators in the given options are:
A. 4,
B. 8,
C. 6,
D. 5.
To determine the common multiples, we can list the multiples of each denominator until we find a common multiple.
- Multiples of 4: 4, 8, 12, 16, ...
- Multiples of 8: 8, 16, 24, 32, ...
- Multiples of 6: 6, 12, 18, 24, ...
- Multiples of 5: 5, 10, 15, 20, 25, 30, ...
From the list of multiples, we can see that 12 is the first common multiple between the denominators.
Now, we need to select the two fractions that have a denominator of 12.
Looking at the options:
A. 1/4 does not have a denominator of 12.
B. 3/8 does not have a denominator of 12.
C. 5/6 does not have a denominator of 12.
D. 3/5 does not have a denominator of 12.
Therefore, none of the given fractions have an LCD of 12.
To find the lowest common denominator (LCD) of the given fractions, we need to find the least common multiple (LCM) of their denominators.
The denominators of the given fractions are: 4, 8, 6, and 5.
To find the LCM, we can list the multiples of the largest denominator (8) until we find a multiple that is also divisible by the other denominators:
Multiples of 8: 8, 16, 24, 32, 40...
Next, we check if any of these multiples are also multiples of the other denominators:
Multiples of 8 that are multiples of 4: 8, 16, 24, 32, 40...
Multiples of 8 that are multiples of 6: None
Multiples of 8 that are multiples of 5: None
From this, we can see that the LCM of the denominators 4, 8, 6, and 5 is 24.
Next, we select the fractions whose denominators match the LCD of 12.
The fractions with denominators 4 and 3 are not a match, so we eliminate options A and B.
The fraction with a denominator of 6 matches the LCD, so we keep option C.
The fraction with a denominator of 5 does not match the LCD, so we eliminate option D.
Therefore, the two fractions with an LCD of 12 are:
C. 5/6
And any other fraction with a denominator of 12.
clearly not D, right?
5 is not a factor of 12
so, which other 2 denominators divide 12?