The least common denominator (LCD) of the fractions 17/24 and 23/30 is 120.
The term "common denominators" refers to denominators that are shared by two or more fractions. The smallest number that unites all of the fractions in a given collection is known as the least common denominator (LCD). The specified fractions must have a common denominator to add, subtract, or compare two or more fractions.
When two or more fractions are supplied, the least common denominator is the one with the smallest common multiple of all the common multiples of the denominators.
In the question, we are asked to find the least common denominator (LCD) for the pair of fractions, 17/24 and 23/30.
The denominators of the two fractions are 24 and 30.
To find the least common denominator, we find the lowest common multiple (LCM) of the denominators.
The prime factorization of 24 is 2*2*2*3.
The prime factorization of 30 is 2*3*5.
Thus, the LCM of 24 and 30 is 2*2*2*3*5 = 120.
Thus, the least common denominator (LCD) of the fractions 17/24 and 23/30 is 120.
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