The process of finding a common denominator for two, three, or four fractions is essentially the same, but the number of steps involved increases with the number of fractions.
For two fractions, the common denominator is simply the product of the denominators. For example, to find a common denominator for 1/3 and 1/4, we multiply the denominators to get 3 x 4 = 12. Therefore, the equivalent fractions with a common denominator of 12 are 4/12 and 3/12.
For three fractions, we follow the same process, but we may need to simplify the fractions after finding the common denominator. For example, to find a common denominator for 1/2, 1/3, and 1/4, we multiply the denominators to get 2 x 3 x 4 = 24. Then we convert each fraction to an equivalent fraction with a denominator of 24. 1/2 becomes 12/24, 1/3 becomes 8/24, and 1/4 becomes 6/24. We can simplify these fractions further to get 1/2 = 12/24, 1/3 = 8/24, and 1/4 = 6/24.
For four fractions, we follow the same process as for three fractions, but we need to find the least common multiple (LCM) of the denominators instead of just multiplying them. The LCM is the smallest number that is a multiple of all the denominators. For example, to find a common denominator for 1/2, 1/3, 1/4, and 1/5, we find the LCM of 2, 3, 4, and 5, which is 60. Then we convert each fraction to an equivalent fraction with a denominator of 60. 1/2 becomes 30/60, 1/3 becomes 20/60, 1/4 becomes 15/60, and 1/5 becomes 12/60. We can simplify these fractions further if possible.