What is the reciprocal of \(2 \frac{3}{8}\)?
Answer (3)
To find the reciprocal of a number or fraction, just flip the numerator and denominator. Whole numbers are always over 1.
2 = 1 2
The reciprocal of 1 2 = 2 1 or .5 (one-half)
The reciprocal of 8 3 = 3 8
The correct answer is:
8/19.
Explanation :
2 3/8 can be written as 1 + 1 + 3/8. Each whole number 1 can then be written as a fraction, 8/8:
8/8 + 8/8 + 3/8 = 16/8 + 3/8 = 19/8
The reciprocal is found by flipping the fraction; this makes it 8/19.
The reciprocal of 2 8 3 is 19 8 , which is found by first converting the mixed number to an improper fraction and then flipping it. The improper fraction form is 8 19 .
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