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4 November, 04:57

Andy walked 3/4 of a mile to the post office and another 1/2 to the supermarket. What is a common denominator for 3/4 and 1/2? 10,8,6,5

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  1. 4 November, 06:11
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    A common denominator is very similar to the idea of a common multiple. You can think of a common multiple between two numbers as some number that they both go into. In other words, if you started counting by 3s and 5s, 15 would be a common multiple, since you manage to hit that number in both of your counting lists

    3, 6, 9, 12, 15

    5, 10, 15

    Here, we're looking for some number that's a common multiple of 2 and 4. Counting by both numbers and listing those out:

    2, 4, 6, 8

    4, 8

    We find that 8 fits the bill best. 10 and 6 are both multiples of 2, but not of 4, and 5, being an odd number, isn't a multiple of either one.
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