Answer :
Answer:
5/8 is smaller.
Step-by-step explanation:
A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777
Then to compare them you see which is smaller or bigger.
0.77777 is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.
Steps:-
- First rewrite
- Then convert to fractions
- Then divide both
[tex]\\ \rm\rightarrowtail 5:8::7;9[/tex]
[tex]\\ \rm\rightarrowtail 5/8:7/9[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{5(9)}{8(9)}:\dfrac{7(8)}{9(8)}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{45}{72}:\dfrac{56}{72}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{45}{56}[/tex]
- Second one is bigger