Question

So 12 divided by 30 = 12 divided by (? X?)

Answer 1

9514 1404 393

Answer:

  6 × 5

Step-by-step explanation:

If you want to reduce the fraction 12/30, you want to find the greatest common factor of 12 and 30. We can find that by looking at the prime factorization of each number.

  12 = 2·2·3

  30 = 2·3·5

The greatest common factor is 2·3 = 6. This means ...

  $\dfrac{12}{30}=\dfrac{12}{6\times5}$

The product of interest is 6 × 5.

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Additional comment

Any of the factor pairs of 30 could be used. Only the one shown is useful for reducing the fraction to lowest terms.

  30 = 1×30 = 2×15 = 3×10 = 5×6