what is the reciprocal of 2 2/5
A: 4/5
B: 12/5
C: 5/12
D: 5/4
2 2/5
= 10/5 + 2/5
= 12/5
now you can take the reciprocal
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To find the reciprocal of a fraction, you simply switch the numerator and denominator.
First, let's convert the mixed number to an improper fraction. To do this, we multiply the whole number (2) by the denominator (5) and then add the numerator (2). This gives us (2 * 5 + 2 = 12/5).
Now, to find the reciprocal of 12/5, we switch the numerator and denominator. The reciprocal is therefore 5/12.
So, the answer is C: 5/12.