Question

usando os sinais e compare os números a) 4/5 e 3/5 b) 2/7 e 3/7 c) 8/10 e 9/10 d) 1/2 e 1/3 e) 1/8 e 1/4 f) 1/4 e 2/7

Answer 1

Explicação passo-a-passo:

a)

$\sf \dfrac{4}{5}\red{>}\dfrac{3}{5}$

b)

$\sf \dfrac{2}{7}\red{<}\dfrac{3}{7}$

c)

$\sf \dfrac{8}{10}\red{<}\dfrac{9}{10}$

d)

Temos que:

• $\sf \dfrac{1}{2}=\dfrac{3\cdot1}{3\cdot2}=\dfrac{3}{6}$

• $\sf \dfrac{1}{3}=\dfrac{2\cdot1}{2\cdot3}=\dfrac{2}{6}$

Logo:

$\sf \dfrac{1}{2}\red{>}\dfrac{1}{3}$

e)

Temos que:

• $\sf \dfrac{1}{4}=\dfrac{2\cdot1}{2\cdot4}=\dfrac{2}{8}$

Logo:

$\sf \dfrac{1}{8}\red{<}\dfrac{1}{4}$

f)

Temos que:

• $\sf \dfrac{1}{4}=\dfrac{7\cdot1}{7\cdot4}=\dfrac{7}{28}$

• $\sf \dfrac{2}{7}=\dfrac{4\cdot2}{4\cdot7}=\dfrac{8}{28}$

Logo:

$\sf \dfrac{1}{4}\red{<}\dfrac{2}{7}$