Question

What is the least common denominator (LCD) and its significance in mathematics?

A. The LCD is the largest prime number in a set of fractions.
B. The LCD is the smallest number divisible by all denominators in a set of fractions.
C. The LCD is a mathematical constant used for calculating ratios.
D. The LCD is a technique for simplifying complex fractions.

Answer 1

The least common denominator (LCD) is the smallest number divisible by all denominators in a set of fractions. It allows us to add and subtract fractions with different denominators.

Step-by-step explanation:

The least common denominator (LCD) in mathematics is the smallest number divisible by all denominators in a set of fractions.

For example, if you have the fractions 1/2, 1/3, and 1/4, the LCD would be 12 because it is the smallest number that is divisible by 2, 3, and 4.

The significance of the LCD is that it allows us to add and subtract fractions with different denominators. By finding the LCD, we can convert the fractions into equivalent fractions with the same denominator, which makes it easier to perform operations.