The illustration below shows the length of each section of a three-part hike. What is the longest and shortest section, if $A B = \frac { 4 } { 5 }$ , $B C = \frac { 11 } { 13 }$ , $C D = \frac { 7 } { 10 }$ .
A) Longest: $\frac { 4 } { 5 }$ ; Shortest: $\frac { 7 } { 10 }$ .
B) Longest: $\frac { 4 } { 5 }$ ; Shortest: $\frac { 11 } { 13 }$ .
C) Longest: $\frac { 11 } { 13 }$ ; Shortest: $\frac { 4 } { 5 }$ .
D) Longest: $\frac { 7 } { 10 }$ ; Shortest: $\frac { 4 } { 5 }$ .
E) Longest: $\frac { 11 } { 13 }$ ; Shortest: $\frac { 7 } { 10 }$ .

Question

The illustration below shows the length of each section of a three-part hike. What is the longest and shortest section, if $A B = \frac { 4 } { 5 }$ , $B C = \frac { 11 } { 13 }$ , $C D = \frac { 7 } { 10 }$ . 
A) Longest: $\frac { 4 } { 5 }$ ; Shortest: $\frac { 7 } { 10 }$ . 
B) Longest: $\frac { 4 } { 5 }$ ; Shortest: $\frac { 11 } { 13 }$ . 
C) Longest: $\frac { 11 } { 13 }$ ; Shortest: $\frac { 4 } { 5 }$ . 
D) Longest: $\frac { 7 } { 10 }$ ; Shortest: $\frac { 4 } { 5 }$ . 
E) Longest: $\frac { 11 } { 13 }$ ; Shortest: $\frac { 7 } { 10 }$ .

Quizplus · Accepted Answer

In order to find the longest and shortest sections, we need to compare the fractions. We can see that $\frac{11}{13}$ is the biggest fraction, so it must be the longest section. Similarly, $\frac{4}{5}$ is the smallest fraction, so it must be the shortest section. Therefore, the answer is (E) Longest: $\frac{11}{13}$; Shortest: $\frac{7}{10}$.

The Illustration Below Shows the Length of Each Section of a Three-Part