Perform the operation involving rational numbers. Be sure to express your answer in reduced form. $\frac { 1 } { 3 } + \frac { 5 } { 6 } - \frac { 4 } { 9 }$
A) $\frac { 29 } { 18 }$
B) $\frac { 13 } { 9 }$
C) $\frac { 13 } { 17 }$
D) $\frac { 13 } { 18 }$
E) $\frac { 18 } { 13 }$

Question

Quizplus · Accepted Answer

First, we need to find a common denominator. The smallest common denominator is 18, which can be found by finding the least common multiple of 3, 6, and 9.
$$\frac { 1 } { 3 } + \frac { 5 } { 6 } - \frac { 4 } { 9 }=\frac{1\cdot6\cdot3}{3\cdot6\cdot3}+\frac{5\cdot3\cdot3}{6\cdot3\cdot3}-\frac{4\cdot2\cdot3}{9\cdot2\cdot3}=\frac{18}{54}+\frac{45}{54}-\frac{24}{54}=\frac{39}{54}=\frac{13}{18}$$
Therefore, the answer is D.

Perform the Operation Involving Rational Numbers 13+56−49\frac { 1 } { 3 } + \frac { 5 } { 6 } - \frac { 4 } { 9 }31​+65​−94​

Perform the Operation Involving Rational Numbers $\frac { 1 } { 3 } + \frac { 5 } { 6 } - \frac { 4 } { 9 }$