Question

What’s the largest fraction in each group? a. 5⁄6 and 29⁄36 b. 5⁄12 and 3⁄8 c. 2⁄5 and 19⁄45 d. 5⁄7, 13⁄14, and 19⁄21 e. 7⁄11 and 9⁄121 f. 1⁄2, 3⁄18, and 4⁄9

Answer 1

Imagine a cake. OK? Now divide the cake in 2 equal pieces, each one is ½ of the cake.
Now divide each piece in 2 halves; each one is ¼ of the cake. Witch is largest? 1:2=0,5; 1:4=0,25. 0,5>0,25.

5:6=0,83333
29:36=0,80555
0,83>0,80 so 5/6 is the largest.

Do this for each group.

a.5/6
b.5/8
c.19/45
d.13/14
e.7/11
f.1/2

Answer 2

Answer:

a. $\frac{5}{6}$,

b. $\frac{5}{12}$,

c. $\frac{19}{45}$,

d. $\frac{13}{14}$,

e. $\frac{7}{11}$,

f. $\frac{1}{2}$

Step-by-step explanation:

(a)

$\frac{5}{6}\text{ and }\frac{29}{36}$

Making denominator common.

$\frac{5\times 6}{6\times 6}\text{ and }\frac{29}{36}$

$\frac{30}{36}\text{ and }\frac{29}{36}$

Now compare the numerators.

$30>29$

$\frac{30}{36}>\frac{29}{36}$

$\frac{5}{6}>\frac{29}{36}$

Therefore $\frac{5}{6}$ is largest fraction.

(b)

$\frac{5}{12}\text{ and }\frac{3}{8}$

Making denominator common.

$\frac{5\times 2}{12\times 2}\text{ and }\frac{3\times 3}{8\times 3}$

$\frac{10}{24}\text{ and }\frac{9}{24}$

Now compare the numerators.

$10>9$

$\frac{10}{24}>\frac{9}{24}$

$\frac{5}{12}>\frac{3}{8}$

Therefore $\frac{5}{12}$ is largest fraction.

(c)

$\frac{2}{5}\text{ and }\frac{19}{45}$

Making denominator common.

$\frac{2\times 9}{5\times 9}\text{ and }\frac{19}{45}$

$\frac{18}{45}\text{ and }\frac{19}{45}$

Now compare the numerators.

$18$

$\frac{18}{45}$

$\frac{2}{5}$

Therefore $\frac{19}{45}$ is largest fraction.

Similarly,

(d)

$\frac{5}{7}\text{ and }\frac{13}{14}\text{ and }\frac{19}{21}$

By making denominator common, we get

$\frac{30}{42}\text{ and }\frac{39}{42}\text{ and }\frac{38}{42}$

By comparing the numerators, we get 39 is greatest therefore $\frac{13}{14}$ is largest fraction.

(e)

$\frac{7}{11}\text{ and }\frac{9}{121}$

By making denominator common, we get

$\frac{77}{121}\text{ and }\frac{9}{121}$

By comparing the numerators, we get 77 is greatest therefore $\frac{7}{11}$ is largest fraction.

(d)

$\frac{1}{2}\text{ and }\frac{3}{18}\text{ and }\frac{4}{9}$

By making denominator common, we get

$\frac{9}{18}\text{ and }\frac{3}{18}\text{ and }\frac{8}{18}$

By comparing the numerators, we get 9 is greatest therefore $\frac{1}{2}$ is largest fraction.