Select the two fractions that are equivalent to 27

Question

.(2 points)
Responses

1035
10 over 35

47
4 sevenths

214
2 over 14

828
8 over 28

Answer 1

To determine which fractions are equivalent to \( \frac{27}{1} \), we can simplify each option:

1. \( \frac{10}{35} \)
   Simplifying:
   \( \frac{10 \div 5}{35 \div 5} = \frac{2}{7} \)
   Not equivalent to \( \frac{27}{1} \).

2. \( \frac{4}{7} \)
   Not equivalent to \( \frac{27}{1} \).

3. \( \frac{2}{14} \)
   Simplifying:
   \( \frac{2 \div 2}{14 \div 2} = \frac{1}{7} \)
   Not equivalent to \( \frac{27}{1} \).

4. \( \frac{8}{28} \)
   Simplifying:
   \( \frac{8 \div 4}{28 \div 4} = \frac{2}{7} \)
   Not equivalent to \( \frac{27}{1} \).

None of the provided fractions are equivalent to \( \frac{27}{1} \). The fraction \( \frac{27}{1} \) represents the integer 27, and none of the options result in this value when simplified. Thus, please double-check the options provided.