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| Math Central | Quandaries & Queries |
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Question from Kenneth: If I understand correctly , a multiple is a product of two numbers. For example some of the multiples of 6 are 6, 12, 18, 24, 30, etc. I just multiplied 6 by 1, 2, 3, 4, 5, etc. Are the multiples of a fraction, for example, 2/3, determined in the same way? Are they 2/3, 4/3, 6/3, 8/3, 10/3, etc., or are they instead, 2/3, 4/6, 6/9, 8/12, 10/15, etc.? Or do fractions have no multiples? I thank you for your reply. |
Hi Kenneth,
When we talk about multiples of a number we are usually interested in positive integer multiples. That's what gave you the multiples of 6. They are
\[1 \times 6 = 6, 2 \times 6 = 12, 3 \times 6 = 18, \mbox{ and so on.}\]
For multiples of a fraction you apply the same procedure. Thus the multiples of $\large \frac23$ are
\[1 \times \frac23 = \frac23, 2 \times \frac23 = \frac43, 3 \times \frac23 = \frac63, \mbox{ and so on.}\]
Penny
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