what is the least common denominator of 2/12, 1/2, and 7/13?
Mathematics · College · Tue Nov 03 2020
Answered on
Given the numbers:
2/12 , 1 / 2 and 7/13
Find the Least Common Denominator.
Solution:
When we say Least Denominator, it is a multiple of the given numbers which are similar. An easy way to determine the least common denominator (LCD) of an number is through listing method. We will least the multiples of the denominator for each given number.
2/12
Multiples of 12: 12 , 24, 36, 48, 60,72, 84, 96, 108, 120, 132, 144, 156, 168, 180….
1 / 2
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40…
7/13
Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 205…
Noticed that 13, and 12 have a common multiple of 156, and it is also divisible by 2 meaning that is is also a multiple of 2.
Therefore, the least common denominator (LCD) of 2/12, 1 / 2 and 7/13 is 156.