Perform the indicated operation. Simplify your answers.
-Find the average off $\frac { 1 } { 6 } , \frac { 3 } { 7 } , \text { and } \frac { 4 } { 3 }$
A) $\frac { 81 } { 14 }$
B) $\frac { 9 } { 14 }$
C) $\frac { 27 } { 14 }$
D) $\frac { 27 } { 28 }$

Question

Quizplus · Accepted Answer

To find the average of the fractions $\frac{1}{6}, \frac{3}{7},$ and $\frac{4}{3}$, you add them together and then divide by 3. First, find a common denominator, which in this case is 42 (the least common multiple of 6, 7, and 3). Convert each fraction: $\frac{1}{6} = \frac{7}{42}, \frac{3}{7} = \frac{18}{42}, \frac{4}{3} = \frac{56}{42}$. Add them together to get $\frac{81}{42}$, and divide by 3 to get the average: $\frac{81}{42} \div 3 = \frac{81}{126} = \frac{9}{14}$.

Perform the Indicated Operation 16,37, and 43\frac { 1 } { 6 } , \frac { 3 } { 7 } , \text { and } \frac { 4 } { 3 }61​,73​, and 34​

Perform the Indicated Operation $\frac { 1 } { 6 } , \frac { 3 } { 7 } , \text { and } \frac { 4 } { 3 }$