Question

Determine a maior fração em cada caso:

a)3/4 e 1/8


b)2/7 e 8/13



c)12/9 e 57/5





d)7/12 e 11/15

e)5/2 , 8/7 e 4/11



f)1/2 , 3/4 e 5/8




g)2/3,5/9 e 7/18



h)9/10,4/15 e 1/20​

Answer 1

a) 3/4 > 1/8

b) 2/7 > 8/13

c) 12/9 > 57/5

d) 7/12 > 11/15

e) 5/2 > 8/7 > 4/11

f) 1/2 < 3/4 < 5/8

g) 2/3 > 5/9 > 7/18

h) 9/10 > 4/15 > 1/20​

Frações

Usaremos o sinal de > (maior que) e o sinal de < (menor que)

Uma regra fácil para entender é:

Para o lado que o V estiver aberto é sinal de maior. A ponta do V, parte fina, indica o valor menor

a) 3/4 e 1/8

Faremos a divisão normal de cada fração

$\dfrac{3}{4} ~=~0,75\\\\\\\dfrac{1}{8}~=~0,125$

A fração 3/4 é > que a fração 1/8

b) 2/7 e 8/13

Faremos a divisão normal de cada fração

$\dfrac{2}{7} ~=~0,286\\\\\\\dfrac{8}{13} ~=~0,615\\\\\\Portanto~0,615~~>~~ 0,286$

c) 12/9 e 57/5

Faremos a divisão normal de cada fração

$\dfrac{12}{9} ~=~1,33...\\\\\\\dfrac{57}{5} ~=~11,4\\\\\\11,4~~~>~~~1,33...$

d) 7/12 e 11/15

$\dfrac{7}{12} ~=~0,583...\\\\\\\dfrac{11}{15}~=~0,733...\\\\\\0,733...~~~>~~~0,573...$

e) 5/2 , 8/7 e 4/11

$\dfrac{5}{2}~=~2,5\\\\\\\dfrac{8}{7} ~=~1,143 \\\\\\\dfrac{4}{11} ~=~0,3636...\\\\\\Logo:\\\\\\\dfrac{5}{2} ~~>~~\dfrac{8}{7} ~~>~~\dfrac{4}{11}$

f) 1/2 , 3/4 e 5/8

$\dfrac{1}{2} ~=~0,5\\\\\\\dfrac{3}{4} ~=~0,75\\\\\\\dfrac{5}{8} ~=~0,625\\\\\\Logo:\\\\\\0,5~~<~~0,75~~<~~0,625\\\\\\\\\\\dfrac{1}{2}~~<~~ \dfrac{3}{4} ~~<~~\dfrac{5}{8}$

g) 2/3,5/9 e 7/18

$\dfrac{2}{3} ~=~0,66...\\\\\\\dfrac{5}{9} ~=~0,55...\\\\\\\dfrac{7}{18} ~=~0,38...\\\\\\\dfrac{2}{3} ~~>~~\dfrac{5}{9} ~~>~~\dfrac{7}{18}$

h) 9/10,4/15 e 1/20​

Para saber mais acesse o link abaixo

Maior que e menor que

https://brainly.com.br/tarefa/28487682