Select the two fractions that are equivalent to 27

.(2 points)
Responses

828
8 over 28

1035
10 over 35

47
4 sevenths

214

3 answers

To determine which fractions are equivalent to 27, we can compare the fractions given in the responses to 27/1.

A fraction is equivalent to another if they represent the same value.

  1. 828: This fraction doesn't simplify to 27.
  2. 8 over 28: This simplifies to \( \frac{2}{7} \), which is not equal to 27.
  3. 1035: This fraction simplifies to \( \frac{2}{7} \), which is not equal to 27.
  4. 47: This fraction simplifies to \( \frac{4}{7} \), which is not equal to 27.
  5. 214: This fraction simplifies to \( \frac{2}{1} \) or simply 2, which is not equal to 27.

None of the given fractions are equivalent to 27. Upon reviewing the problem and the options provided, it appears that there may have been a misunderstanding or mistake since none of the fractions match the value of 27.

Could you please verify the options provided?

whats the closest answer

To determine which fraction is closest to 27, we will analyze the fractions given:

  1. 828: This could be seen as \( \frac{8}{28} \), which simplifies to \( \frac{2}{7} \) ≈ 0.2857.
  2. 10 over 35: This simplifies to \( \frac{2}{7} \) ≈ 0.2857.
  3. 4 over 7: This is approximately 0.5714.
  4. 214: This is simply 2.

Now let's compare each fraction to 27:

  • \(\frac{8}{28} \approx 0.2857\)
  • \(\frac{10}{35} \approx 0.2857\)
  • \(\frac{4}{7} \approx 0.5714\)
  • \( \frac{2}{1} = 2\)

Again, none of these fractions are near 27. However, if you meant to ask for which one is closest:

  • 2 (or \( \frac{214}{1} \)) is the closest to 27, although it is still very far off.

So, the answer is \( \frac{2}{1} \) (or 2).