Question

2.Compară fracțiile ordinare: a)
3/7 si 2/5 b) 10/17 si 3/5 c) 7/24 si 11/36

Answer 1

Răspuns:

a) $\frac{3}{7} > \frac{2}{5}$

b) $\frac{10}{17} < \frac{3}{5}$

c) $\frac{7}{24} < \frac{11}{36}$

Explicație pas cu pas:

Pentru a putea face compararea, aducem fracțiile la același numitor.

a)

$\frac{3}{7} = \frac{3*5}{7*5} = \frac{15}{35}$

$\frac{2}{5} = \frac{2*7}{5*7} = \frac{14}{35}$

15 > 14  ⇒  $\frac{15}{35} > \frac{14}{35}$  ⇒  $\frac{3}{7} > \frac{2}{5}$

b)

$\frac{10}{17} = \frac{10*5}{17*5} = \frac{50}{85}$

$\frac{3}{5} = \frac{3*17}{5*17} = \frac{51}{85}$

50 < 51  ⇒  $\frac{50}{85} < \frac{51}{85}$  ⇒  $\frac{10}{17} < \frac{3}{5}$

c)

$\frac{7}{24} = \frac{7*3}{24*3} = \frac{21}{72}$

$\frac{11}{36} = \frac{11*2}{36*2} = \frac{22}{72}$

21 < 22 ⇒  $\frac{21}{72} < \frac{22}{72}$  ⇒  $\frac{7}{24} < \frac{11}{36}$