Mathematics

Question

What is a fraction pair that is equivalent to 2/15 and 4/9, and in which both fractions have a
denominator that is the least common denominator of 2/15 and 4/9?
45
c-2115,419

1 Answer

  • Answer:

      6/45 and 20/45

    Step-by-step explanation:

    The least common denominator is the least common multiple (LCM) of 9 and 15.

    The factors of those numbers are ...

      9 = 3·3

      15 = 3·5

    The LCM is the product of the unique factors to their highest powers:

      3·3·5 = 45

    __

    To make 2/15 have a denominator of 45, we need to multiply by 3/3:

      2/15·3/3 = 6/45

    To make 4/9 have a denominator of 45, we need to multiply by 5/5:

      4/9·5/5 = 20/45

    The desired fraction pair is 6/45 and 20/45.

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