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