Final answer:
None of the options A 27 3535, B 27 6565, C 27 106106, or D 27 1616 is equivalent to 27.6, because when simplified, the fraction parts of these mixed numbers are all equivalent to 1, which means they each add up to 28.
Step-by-step explanation:
The student has asked which of the following is equivalent to 27.6:
- A 27 3535
- B 27 6565
- C 27 106106
- D 27 1616
To answer this, we must convert each mixed number into a decimal to see which one equals 27.6:
A. 27 3535 = 27 + 35/35 = 27 + 1 = 28
B. 27 6565 = 27 + 65/65 = 27 + 1 = 28
C. 27 106106 = 27 + 106/106 = 27 + 1 = 28
D. 27 1616 = 27 + 16/16 = 27 + 1 = 28
None of the options listed exactly equals 27.6. It is possible that the fractions given are a misprint, as they are all equivalent to the whole number 1 when simplified, which when added to 27, would give 28, not 27.6.