Answer:
![\frac{32}{56}\ < \frac{35}{56}](https://tex.z-dn.net/?f=%5Cfrac%7B32%7D%7B56%7D%5C%20%3C%20%5Cfrac%7B35%7D%7B56%7D)
![\frac{27}{72} \ < \frac{32}{72}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B72%7D%20%5C%20%3C%20%5Cfrac%7B32%7D%7B72%7D)
![\frac{20}{24}\ < \frac{21}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B24%7D%5C%20%3C%20%5Cfrac%7B21%7D%7B24%7D)
![\frac{9}{30}\ >\frac{8}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B30%7D%5C%20%3E%5Cfrac%7B8%7D%7B30%7D)
Step-by-step explanation:
Given that,
First set of fraction is
.
Second set of fraction is
.
Third set of fraction is
.
Fourth set of fraction is
.
Now,
Considering the first set of fraction:
LCM of 7 and 8 is 56. Now, multiply by 8 to both numerator and denominator to
. and multiply by 7 to both the numerator and denominator to
. We get new set of fraction as
.
∴![\frac{32}{56}\ < \frac{35}{56}](https://tex.z-dn.net/?f=%5Cfrac%7B32%7D%7B56%7D%5C%20%3C%20%5Cfrac%7B35%7D%7B56%7D)
Again considering the second set of fraction:
LCM of 8 and 9 is 72. Now, multiply by 9 to both the numerator and denominator to
. and multiply by 8 to both the numerator and denominator to
. We get new set of fraction as
.
∴
.
Again considering the third set of fraction:
LCM of 6 and 8 is 24. Now, multiply by 4 to both the numerator and denominator to
. and multiply by 3 to both the numerator and denominator to
. We get the new set of fraction as
.
∴
.
Again considering the fourth set of fraction:
LCM of 10 and 15 is 30.Now, multiply by 3 to both the numerator and denominator to
. and multiply by 2 to both the numerator and denominator to
.We, get the new set of fraction as
.
∴ ![\frac{9}{30}\ >\frac{8}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B30%7D%5C%20%3E%5Cfrac%7B8%7D%7B30%7D)