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6 November, 17:26

Find the LCD for and it

3/9 and 7/15

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  1. 6 November, 18:48
    0
    45

    Step-by-step explanation:

    The LCD is the least common denominator.

    The least common denominator is the least common multiple of the denominators.

    To find the least common multiple of numbers do this:

    1. Find the prime factorizations of the numbers.

    9 = 3^2

    15 = 3 * 5

    2. The LCM is the product of the factors that are common and not common with the larger exponent.

    Both numbers have 3 as a factor, so 3 is a common factor. Choose the one with the larger exponent. The prime factors include 3 and 3^2. Chose the one with the larger exponent: 3^2.

    5 is also a factor. It is not common because only 15 has it, but choose it anyway.

    LCM = 3^2 * 5 = 9 * 5 = 45

    LCD = 45
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