What is the least common denominator of these two fractions?

Question

3/4 and 5/8

Answer 1

To find the least common denominator (LCD) of the fractions \( \frac{3}{4} \) and \( \frac{5}{8} \), we first identify the denominators of the two fractions, which are 4 and 8.

Next, we find the least common multiple (LCM) of these denominators:

1. Identify the multiples of 4 and 8:

   • Multiples of 4: 4, 8, 12, 16, 20, ...
   • Multiples of 8: 8, 16, 24, ...

2. Find the smallest common multiple:

   • The smallest common multiple between these two lists is 8.

Thus, the least common denominator of \( \frac{3}{4} \) and \( \frac{5}{8} \) is 8.