Question

Find the least common denominator of 1/6 and 3/4. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.

Answer 1

Answer:

12 is the LCM.

Step-by-step explanation:

Answer 2

Given,

The first fraction$\[ = \frac{1}{6}\]$

The second fraction$\[ = \frac{3}{4}\]$

Solution,

Know the least common multiple is multiple of two integers a and b and is the smallest positive integer that is divisible by each of them.

The first five multiples of $\[6\]$ are

$\[ \Rightarrow 6,12,18,24,30\]$

The first five multiples of $\[4\]$ are

$\[ \Rightarrow 4,8,12,16,20\]$

Therefore, comparing the multiples, the least common denominator is$\[12.\]$

Hence, the LCM of the denominators is $\[12.\]$