Which of these is a rationale for comparing $\frac { 3 } { 7 }$And $\frac { 7 } { 11 }$? (You can choose more than one answer.)
A) They are the same because 7 - 3 = 4 and 11 - 7 = 4.

B) The fraction$\frac { 7 } { 11 }$Is more than $\frac { 1 } { 2 }$, and$\frac { 3 } { 7 }$Is less than$\frac { 1 } { 2 }$, so $\frac { 3 } { 7 }$

Question

Which of these is a rationale for comparing $\frac { 3 } { 7 }$And $\frac { 7 } { 11 }$? (You can choose more than one answer.)
A) They are the same because 7 - 3 = 4 and 11 - 7 = 4.

B) The fraction$\frac { 7 } { 11 }$Is more than  $\frac { 1 } { 2 }$, and$\frac { 3 } { 7 }$Is less than$\frac { 1 } { 2 }$, so  $\frac { 3 } { 7 }$<  $\frac { 7 } { 11 }$

C) Since $\frac { 3 } { 7 }$=$\frac { 33 } { 77 }$ and  $\frac { 7 } { 11 }$=  $\frac { 49 } { 77 }$,  $\frac { 3 } { 7 }$Is smaller.

D) Sevenths are bigger than elevenths, so$\frac { 3 } { 7 }$Is larger.

E) They are equal because each fraction is four parts away from 1.

Quizplus · Accepted Answer

B is correct because $\frac{7}{11}$ is greater than $\frac{1}{2}$ and $\frac{3}{7}$ is less than $\frac{1}{2}$, so $\frac{3}{7} < \frac{7}{11}$. C is correct because when both fractions are converted to have a common denominator of 77, $\frac{33}{77} < \frac{49}{77}$, confirming $\frac{3}{7} < \(\frac{7}{11}$.

Which of These Is a Rationale for Comparing 37\frac { 3 } { 7 }73​

Which of These Is a Rationale for Comparing $\frac { 3 } { 7 }$