If 9 is decreased by the reciprocal of a number, the result is $\frac { 7 } { 3 }$. Find the number.
A) $\frac { 20 } { 3 }$
B) $\frac { 34 } { 3 }$
C) $\frac { 3 } { 34 }$
D) $\frac { 3 } { 20 }$

Question

Quizplus · Accepted Answer

Let the number be $ x $. The equation is $ 9 - \frac{1}{x} = \frac{7}{3} $. Solving for $ x $, we get $ \frac{1}{x} = 9 - \frac{7}{3} = \frac{27}{3} - \frac{7}{3} = \frac{20}{3} $. Thus, $ x = \frac{3}{20} $.

If 9 Is Decreased by the Reciprocal of a Number 73\frac { 7 } { 3 }37​

If 9 Is Decreased by the Reciprocal of a Number $\frac { 7 } { 3 }$