Answer:
a. [tex]\frac{5}{6}[/tex],
b. [tex]\frac{5}{12}[/tex],
c. [tex]\frac{19}{45}[/tex],
d. [tex]\frac{13}{14}[/tex],
e. [tex]\frac{7}{11}[/tex],
f. [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
(a)
[tex]\frac{5}{6}\text{ and }\frac{29}{36}[/tex]
Making denominator common.
[tex]\frac{5\times 6}{6\times 6}\text{ and }\frac{29}{36}[/tex]
[tex]\frac{30}{36}\text{ and }\frac{29}{36}[/tex]
Now compare the numerators.
[tex]30>29[/tex]
[tex]\frac{30}{36}>\frac{29}{36}[/tex]
[tex]\frac{5}{6}>\frac{29}{36}[/tex]
Therefore [tex]\frac{5}{6}[/tex] is largest fraction.
(b)
[tex]\frac{5}{12}\text{ and }\frac{3}{8}[/tex]
Making denominator common.
[tex]\frac{5\times 2}{12\times 2}\text{ and }\frac{3\times 3}{8\times 3}[/tex]
[tex]\frac{10}{24}\text{ and }\frac{9}{24}[/tex]
Now compare the numerators.
[tex]10>9[/tex]
[tex]\frac{10}{24}>\frac{9}{24}[/tex]
[tex]\frac{5}{12}>\frac{3}{8}[/tex]
Therefore [tex]\frac{5}{12}[/tex] is largest fraction.
(c)
[tex]\frac{2}{5}\text{ and }\frac{19}{45}[/tex]
Making denominator common.
[tex]\frac{2\times 9}{5\times 9}\text{ and }\frac{19}{45}[/tex]
[tex]\frac{18}{45}\text{ and }\frac{19}{45}[/tex]
Now compare the numerators.
[tex]18<19[/tex]
[tex]\frac{18}{45}<\frac{19}{45}[/tex]
[tex]\frac{2}{5}<\frac{19}{45}[/tex]
Therefore [tex]\frac{19}{45}[/tex] is largest fraction.
Similarly,
(d)
[tex]\frac{5}{7}\text{ and }\frac{13}{14}\text{ and }\frac{19}{21}[/tex]
By making denominator common, we get
[tex]\frac{30}{42}\text{ and }\frac{39}{42}\text{ and }\frac{38}{42}[/tex]
By comparing the numerators, we get 39 is greatest therefore [tex]\frac{13}{14}[/tex] is largest fraction.
(e)
[tex]\frac{7}{11}\text{ and }\frac{9}{121}[/tex]
By making denominator common, we get
[tex]\frac{77}{121}\text{ and }\frac{9}{121}[/tex]
By comparing the numerators, we get 77 is greatest therefore [tex]\frac{7}{11}[/tex] is largest fraction.
(d)
[tex]\frac{1}{2}\text{ and }\frac{3}{18}\text{ and }\frac{4}{9}[/tex]
By making denominator common, we get
[tex]\frac{9}{18}\text{ and }\frac{3}{18}\text{ and }\frac{8}{18}[/tex]
By comparing the numerators, we get 9 is greatest therefore [tex]\frac{1}{2}[/tex] is largest fraction.
