Question

What is the least common denominator for 3/4 and 1/6

Answer 1

The answer is:

12

Work/explanation:

To find the least common denominator for 4 and 6, we find their LCM.

And that is:

`\textsf{Lcm of 4 and 6 = \textbf{12}}`

Hence, that is the least common denominator for these two fractions.

Now, let's add them:

`\sf{(3)/(4) +(1)/(6)}`

`\sf{(3*3)/(4*3) +(1*2)/(6*2)}`

`\sf{(9)/(12) +(2)/(12)}`

Now we go about this by just adding the numerators:

`\sf{(11)/(12)}`

Hence, the answer is 11/12.

Answer 2

To find the least common denominator (LCD) for the fractions 3/4 and 1/6, we need to determine the smallest multiple that both denominators, 4 and 6, divide evenly into.

To find the LCD, we can list the multiples of both denominators and find the smallest common multiple:

Multiples of 4: 4, 8, 12, 16, 20, 24, ...

Multiples of 6: 6, 12, 18, 24, 30, 36, ...

From the lists above, we can see that the smallest common multiple of 4 and 6 is 12.

Therefore, the least common denominator for 3/4 and 1/6 is 12.

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