Respuesta :
Answer:
[tex]\frac{32}{56}\ < \frac{35}{56}[/tex]
[tex]\frac{27}{72} \ < \frac{32}{72}[/tex]
[tex]\frac{20}{24}\ < \frac{21}{24}[/tex]
[tex]\frac{9}{30}\ >\frac{8}{30}[/tex]
Step-by-step explanation:
Given that,
First set of fraction is [tex]\frac{4}{7}\ and \ \frac{5}{8}[/tex].
Second set of fraction is [tex]\frac{3}{8}\ and \ \frac{4}{9}[/tex].
Third set of fraction is [tex]\frac{5}{6}\ and \ \frac{7}{8}[/tex].
Fourth set of fraction is [tex]\frac{3}{10}\ and \ \frac{4}{15}[/tex].
Now,
Considering the first set of fraction:
LCM of 7 and 8 is 56. Now, multiply by 8 to both numerator and denominator to [tex]\frac{4}{7}[/tex]. and multiply by 7 to both the numerator and denominator to [tex]\frac{5}{8}[/tex]. We get new set of fraction as [tex]\frac{32}{56}\ and\ \frac{35}{56}[/tex].
∴[tex]\frac{32}{56}\ < \frac{35}{56}[/tex]
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 [tex]\frac{3}{8}[/tex]. and multiply by 8 to both the numerator and denominator to [tex]\frac{4}{9}[/tex]. We get new set of fraction as [tex]\frac{27}{72} \ and \ \frac{32}{72}[/tex].
∴[tex]\frac{27}{72} \ < \frac{32}{72}[/tex].
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 [tex]\frac{5}{6}[/tex]. and multiply by 3 to both the numerator and denominator to [tex]\frac{7}{8}[/tex]. We get the new set of fraction as [tex]\frac{20}{24}\ and \ \frac{21}{24}[/tex].
∴[tex]\frac{20}{24}\ < \frac{21}{24}[/tex].
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 [tex]\frac{3}{10}[/tex]. and multiply by 2 to both the numerator and denominator to [tex]\frac{4}{15}[/tex].We, get the new set of fraction as [tex]\frac{9}{30}\ and \ \frac{8}{30}[/tex].
∴ [tex]\frac{9}{30}\ >\frac{8}{30}[/tex]
