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30 March, 05:08

What is the least common denominator for 2/3 and 3/5

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  1. 30 March, 05:38
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    Answer: 15

    Step-by-step explanation: The common denominator for these 2 fractions is simply the least common multiple for the 2 denominators.

    To find the least common multiple or lcm of 3 and 5, we begin by listing the first few multiples of each number.

    Multiples of 3

    1 x 3 = 3

    2 x 3 = 6

    3 x 3 = 9

    4 x 3 = 12

    5 x 3 = 15

    We skipped 0 x 3 because our lcm can't be 0.

    Next we list the multiples of 5.

    Multiples of 5

    1 x 5 = 5

    2 x 5 = 10

    3 x 5 = 15

    Notice that 15 appears in both lists so

    our least common denominator is 15.
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