Answer:
2/3
Step-by-step explanation:
To find the reciprocal you first have to turn the mixed number into an improper fraction. (multiply denominator by whole number, then add the numerator, the denominator stays the same)
(1 x 2 )+ 1=3>>numerator | denominator stays the same>>2 | 3/2
Since the reciprocal is the number that you multiply by to get one, you can flip the numerator and denominator to get your reciprocal.
3/2>>2/3 ( the denominator came to the numerator, and the numerator came to the denominator)
2/3 is your reciprocal
To check your work, you can multiply the reciprocal and the regular number, if your answer is 1, then your reciprocal is correct. If your answer is anything else other than one, you may want to rethink your work.
correct reciprocal: 2/5 x 5/2 = 1
incorrect reciprocal: 2/5 x 6/2 = 5/6
