One more than the reciprocal of a particular number is 7/3. What is the original number expressed as a common fraction?
Lat the original number =a. Then we have:
1/a + 1 = 7/3
(1 + a) / a =7/3 cross multiply
3 + 3a =7a subtract 3a from both sides
3 = 7a - 3a
3 = 4a divide both sides by 4
a = 3/4 - The original number