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4: 4, 8, 12, 16; 2: 2, 4, 6, 8; 3. Look for the smallest underlined number (known as the least common multiple, or LCM). This is your common denominator. Common denominator: 4; 4. Multiply the numerator and denominator by the factor that it would take to get to your common denominator…like this: and this:
Least common denominator, or least common multiple, is what you must find first. Multiples of 12 are 12,24,36,48,60,72... Multiples of 8 are 8, 16,24,32,40,48... When you list the multiples of each, you can see that the LCM is 24.
A denominator is the number on the bottom in a fraction. In this case, 9 and 12 are both whole numbers. The common denominator would be 1 because both numbers would have a fraction of 9/1 and 12/1. However, if 9 and 12 are denominators to fractions (i.e. 1/9 and 1/12) that would be a different story.
this process is particularly useful in finding common denominators. For example, let’s say we had the problem 5/8 + 2/5. We would first need to find a common denominator. Here’s how we would use LCMs to find the common denominator. First, we need to list the multiples of each of the denominators in the problem, 8 and 5. 8: 8, 16, 24, 32, 40
In the second fraction, the denominator is 5. Since 5 can only be evenly divided by 5 and 1 (it is also prime), its prime factor is 5. Once the prime factors are found, they need to be listed. In this case, the factors of the common denominator are 3 and 5. (If a number appears in both denominators the, only list it once.)
To find the common denominator. First check to see if one of the numbers is divisible by the other. In this case 4 is not divisible by 5 and 5 is not divisible by 4. So the next step is to find the common multiple.
Ex: 2/3 + 8/12 --> 8/12 + 8/12= 16/12 or 1 1/3 (unless the directions say not to, always simplify your answer) Subtraction: 1. Again, find your least common denominator. Really, any common denominator is acceptable but the LCD helps when you simplify the answer later. 2.
the common denominator is 10. because if you were to add 4/10+1/5 you would put: 4/10 + 1/5 and to make the denominator equal to 10 you multiply the top and the bottom by 2 and it would end up looking like this 2/10. therefore your problem would look like this 4/10 +2/10= 6/10. did this help?
25=5*5; 20=2*2*5; So they have 5 as a common factor, then 4 and 5 are co-factors, which are unique to those numbers. Least common multiple is 100, that is 25 times 4, co-factor for 20. Multiply both numerator and denominator of 11/25 by a co-factor for 20, that is 4. Do the same with 9/20, but use co-factor for 25, that is 5. You will obtain:
Find all the common multiples of 12 and 15. STEP 1: determine the lowest common multiple of 12 and 15. 12 15. 1 12 15. 2 24 30. 3 36 45. 4 48 60. 5 60. It turns out, the lowest common multiple of 12 and 15 is 60. My observation is it took five multiples of 12 and four multiples of 15 to reach the common multiple of 60 for both 12 and 15.