what is the lowest common denominator of the fractions: 1/3,3/4,5/12,1/2,5/6 thanks to all who help
LCD = 12
1 / 3 = 1 * 4 / 3 * 4 = 4 / 12
3 / 4 = 3 * 3 / 4 * 3 = 9 / 12
5 / 12 = 5 / 12
1 / 2 = 1 * 6 / 2 * 6 = 6 / 12
5 / 6 = 5 * 2 / 6 * 2 = 10 / 12
this is really hard to believe
To find the lowest common denominator (LCD) of a set of fractions, you need to find the least common multiple (LCM) of the denominators. Here's how you can do it step by step:
Step 1: Write down the given fractions:
1/3, 3/4, 5/12, 1/2, 5/6
Step 2: Identify the denominators of these fractions:
The denominators are 3, 4, 12, 2, and 6.
Step 3: Find the LCM of the denominators:
To find the LCM, you can factorize the denominators and then choose the highest power of each prime factor. Let's break it down:
3 = 3^1
4 = 2^2
12 = 2^2 * 3^1
2 = 2^1
6 = 2^1 * 3^1
The highest power of each prime factor among all the denominators is 2^2 * 3^1.
Step 4: Calculate the LCM:
The LCM of the denominators is 2^2 * 3^1 = 4 * 3 = 12.
Therefore, the lowest common denominator (LCD) of the fractions 1/3, 3/4, 5/12, 1/2, and 5/6 is 12.
one way is to write out the prime factors of all the denominators
3
2,2
2*2*3
2
2*3
so we will need two 2s and a three which is twelve