Question

. The least common denominator of 1/12 and 1/15 is
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Answer 1

Answer:

60 is your answer

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Answer 2

Given,

Fractions: 1/12 and 1/15.

To find,

The least common denominator of these fractions.

Solution,

The least common denominator when two or more fractions are given can be defined as the smallest number among all the common multiples of the denominators of given fractions.

Here, the given fractions are,

$\frac{1}{12} \hspace{3} and \hspace{3} \frac{1}{15}$

Now, to find the least common denominator, we need to find the multiples of 12 and 15. So, their multiples are,

For 12: 12, 24, 36, 48, 60, 72, ... etc.

For 15: 15, 30, 45, 60, 75, 80, ... etc.

⇒ common multiple = 60.

So, it can be seen that the smallest number which is a common multiple of 12 and 15 is 60.

Therefore, the least common denominator of the given fractions $\frac{1}{12} \hspace{3} and \hspace{3} \frac{1}{15}$ is 60.