Respuesta :

If you're trying to rewrite 1/2 and 1/4 in terms of the same common denominator, all you have to do is multiply the top and bottom of 1/2 by 4 (which is the denominator of 1/4) and the top and bottom of 1/4 by 2 (which is the denominator of 1/2) to find that 1/2 = (1 x 4) / (2 x 4) = 4/8 and 1/6 = (1 x 2) / (4 x 2) = 2/8.

The common denominator of  [tex]\frac{1}{2}[/tex] and [tex]\frac{1}{4}[/tex] is [tex]4[/tex].

Least Common Multiple :

It is the smallest integer which is a multiple of two or more numbers.

Given fraction are, [tex]\frac{1}{2}[/tex] and [tex]\frac{1}{4}[/tex]

For common denominator, we have to find least common multiple of denominator [tex]2[/tex] and[tex]4[/tex].

LCM of [tex]2[/tex] and [tex]4[/tex] is [tex]4[/tex].

Hence, the common denominator of  [tex]\frac{1}{2}[/tex] and [tex]\frac{1}{4}[/tex] is [tex]4[/tex].

Learn more about the Denominator here:

https://brainly.com/question/78672

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