To find the common denominator of 1/2, 3/4, and 3/7, we can follow these steps:
Step 1: Identify the prime factors of the denominators. The denominators are 2, 4, and 7, so the prime factors are 2, 2, and 7.
Step 2: Determine the highest power of each prime factor. The highest power of 2 is 2^2, and the highest power of 7 is 7^1.
Step 3: Multiply the highest powers of the prime factors. This gives us the least common multiple (LCM) of the denominators, which is the smallest number that is evenly divisible by all the denominators. In this case, the LCM is:
2^2 * 7^1 = 28
Step 4: Convert each fraction to an equivalent fraction with the common denominator of 28.
1/2 = (1/2) * (14/14) = 14/28
3/4 = (3/4) * (7/7) = 21/28
3/7 = (3/7) * (4/4) = 12/28
Therefore, the common denominator of 1/2, 3/4, and 3/7 is 28, and the equivalent fractions with that denominator are 14/28, 21/28, and 12/28