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Which fraction is not equivalent to [tex]20 \cdot 12[/tex]?

A. [tex]\frac{240}{1}[/tex]
B. [tex]\frac{480}{2}[/tex]
C. [tex]\frac{60}{3}[/tex]
D. [tex]\frac{40}{12}[/tex]

Answer :

To determine which fraction is not equivalent to the expression 20 \times 12, we need to first calculate the product.

First, calculate the product of 20 and 12:

[tex]20 \times 12 = 240[/tex]

Now, we need to recognize that a fraction is equivalent to 240 if the fraction simplifies to 240 when reduced to its simplest form.

Typically, you might be presented with a set of fractions from which you have to identify which one does not simplify to 240. For example:

  1. [tex]\frac{480}{2}[/tex]
  2. [tex]\frac{2400}{10}[/tex]
  3. [tex]\frac{240}{1}[/tex]
  4. [tex]\frac{720}{3}[/tex]

Let's simplify these fractions:

  1. [tex]\frac{480}{2} = 240[/tex], which is equivalent to 240.

  2. [tex]\frac{2400}{10} = 240[/tex], which is equivalent to 240.

  3. [tex]\frac{240}{1} = 240[/tex], which is equivalent to 240.

  4. [tex]\frac{720}{3} = 240[/tex], which is equivalent to 240.

All of these fractions simplify to 240 and are equivalent to our product. However, if there was a fraction given that did not simplify to 240, such as [tex]\frac{241}{1}[/tex], it would not be equivalent because it does not reduce to the same value as 240.

In essence, by identifying a non-equivalent fraction, you ensure it doesn't simplify to 240. Without more information on specific choices, this is how you would determine equivalence.

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