Respuesta :

Answer:

Both quantities are similar.

Step-by-step explanation:

We are asked to determine how the expressions [tex]\frac{1}{4}\text{ of }12[/tex] and 12 divided by 4 are related.

The expression [tex]\frac{1}{4}\text{ of }12[/tex] means one-fourth of 12. To calculate one-fourth of 12, we will divide 12 by 4.

[tex]\frac{1}{4}\text{ of }12=\frac{1}{4}\times 12=\frac{1\times 12}{4}=\frac{12}{4}[/tex]

Therefore,  [tex]\frac{1}{4}\text{ of }12[/tex] is same as 12 divided by 4.

The expressions are the same, since dividing by a is the same as multiplying by [tex]\mathbf{\frac{1}{a}}[/tex]

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''1/4 of 12''

This is:

[tex]\frac{1}{4}12 = \frac{12}{4} = 3[/tex]

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''12 divided by 4''

This is:

[tex]\frac{12}{4} = 3[/tex]

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This will always apply, as dividing by a is the same as multiplying by [tex]\mathbf{\frac{1}{a}}[/tex].

A similar problem is given at https://brainly.com/question/21305721