Divide 5 and 8 then divide 12 and 5
Unless you are using a calculator that adds them for you, it is much harder to add fractions with uncommon denominators. Having the same denominator allows you to only have to add the numerators for your answer.
There are many ways to find the lowest common denominator (LCD). One way is to list out all the factors of both numbers and find the common one. Whichever one is the lowest is the LCD. But if you're using larger numbers you can do trial and error or multiple the denominators.
To write equivalent fractions with the lowest common denominator, you first need to find the least common multiple (LCM) of the denominators of the fractions. Once you have the LCM, you can rewrite each fraction using that common denominator. This ensures that the fractions have the same denominator while maintaining their original values. Remember to simplify the fractions if needed to ensure they are in their lowest terms.
They can help you find a common denominator by the bottoms one of each fraction if the top ones don't have the same denominator. Then find the simplest or non-simplest denominator. Like when you have 2/7+ 2/3=? Well that equals: 20/21. How you find that out is by finding what 7 and 3 have in common is by using a multiplication table until you reach a number they both equal because 7X3= 21 so that's how you get the bottom number. Then you just add the top and that's how you do fractions and the denominator.
21/24 and 20/24
21/24 and 20/24
Divide 5 and 8 then divide 12 and 5
10/24 and 9/24
1
You convert them to equivalent fractions with the a common denominator. This new denominator must be a common multiple of the denominators. The Least Common Multiple (LCM) may be a recommendation but is not necessary. However, using the LCM will keep all the numbers as small as possible and that may be an advantage.
There is no highest common multiple. Once you get a common multiple - for example, multiplying 18 x 57, or using prime factorization to get the smallest common multiple - you can multiply it by 2, by 3, by 4, etc. and get ever-larger common multiples.
Since percentages are based on a common denominator of 100, they are easier to add and subtract.
The Least (or Lowest) Common Multiple (LCM) is the smallest number that is a multiple of both numbers. For example: the LCM of 10 and 4 is 20, because both 10 and 4 go into 20 and 20 is the smallest number both 10 and 4 can go into. To be able to add or subtract fractions they must have the same denominator. If the denominators are different then the fractions must first be converted into equivalent fractions with a common denominator; any common denominator can be used, but by using the Least Common Multiple of the denominators as the new denominator it keeps the numbers smaller; this smallest denominator is known as the Least Common Denominator Thus the Least Common Denominator is the Least Common Multiple of the denominators of two (or more) fractions (used when adding or subtracting fractions with different denominators). As the Least Common Multiple is used most often with adding or subtracting fractions, it is often referred to as the Least Common Denominator (because the numbers being considered are usually denominators of fractions).
Different denominators: First, you find a common denominator (it can be the least common denominator, or any common denominator), and convert all fractions involved to equivalent fractions, using the common denominator. For example, 1/4 + 2/3. 12 is a common denominator; you can write this as 3/12 + 8/12.Same denominator: Just add (or subtract) the numerators, and keep the denominator. The above addition would become 11/12. Finally, you may want to check whether you can simplify the answer. Depending on how you (or the teacher) prefers the answer, you may also want to convert to a mixed fraction. In the above example, no such simplification is possible.
You could use any of: 364, 728, 1092, 1456, 1820, 2184, 2548, 2912, 3276, 3640, 4004, 4368, ... though I would recommend using the least common denominator of 364.
17 11/24 (seventeen and eleven twenty forths) to work out find a common denominator in the lower part of the fraction( a number that both 3 and 8 is divisible by) convert the fractions using the common denominator and then add the figures excluding the common denominator