Can someone plz help me. How can you find the inequalities of 11/15 and 5/7. Next 5/9 and 7/13. Next 11/15 and 5/7. Lastly 5/9 and 7/13. PLZ HELP.

Answers

Answer 1

Answer: To make this a little clearer, let's give the pairs of inequalities the same denominator:

Question 1:
$(11)/(15)$ ? $(5)/(7)$
First, apply the common denominator to the first fraction:
$((11)/(15))7 \n (11)/(15) * (7)/(7) \n (11*7)/(15*7) \n (77)/(105)$
Do the same for the second: $15( (5)/(7)) \n (5)/(7)* (15)/(15) \n (5*15)/(7*15) \n (75)/(105)$
Nest, compare the two fractions:
$(77)/(105) \ \textgreater \ (75)/(105)$
Therefore:
$(11)/(15)$ > $(5)/(7)$

Question Two:
$(5)/(9)$ ? $(7)/(13)$
Apply the common denominator to fraction one:
$13( (5)/(9)) \n (5)/(9) * (13)/(13) \n (5*13)/(9*13) \n (65)/(117)$
Fraction two:
$9((7)/(13)) \n (7)/(13) * (9)/(9) \n (7*9)/(13*9) \n (63)/(117)$
Evaluate:
$(65)/(117)$ > $<span>(63)/(117)$
Therefore:
$(5)/(9)$ > $(7)/(13)$

Hope this helps!

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