How do you compare the fractions 3/11 and 7/17?

Answer 1

#7/17>3/11#

To compare two fractions, we must make their denominators same.

Here we have #11# and #17# as divisors or denominators and they do not have any common factor. Hence their GCD is #11xx17=187#

Hence #3/11=(3xx17)/(11xx17)=51/187#

and #7/17=(7xx11)/(17xx11)=77/187#

as #77/187>51/187#, we have #7/17>3/11#.

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Answer 2

Genesis Amaya

To compare the fractions ( \frac{3}{11} ) and ( \frac{7}{17} ), you can either find a common denominator and compare the numerators, or you can cross-multiply and compare the results.

Method 1: Finding a common denominator: [ \frac{3}{11} \times \frac{17}{17} = \frac{51}{187} ] [ \frac{7}{17} \times \frac{11}{11} = \frac{77}{187} ]

Now, since ( \frac{51}{187} < \frac{77}{187} ), we conclude that ( \frac{3}{11} < \frac{7}{17} ).

Method 2: Cross-multiplication: [ 3 \times 17 = 51 ] [ 7 \times 11 = 77 ]

Since ( 51 < 77 ), again we find that ( \frac{3}{11} < \frac{7}{17} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.