Question

5 Comparați următoarele fracţii ordinare, aducându-le la acelaşi numitor fr.​

Answer 1

Explicație pas cu pas:

a)

$\dfrac{^{5)} 3}{2} = \dfrac{15}{10} \\ \dfrac{^{2)} 7}{5} = \dfrac{14}{10}$

$\dfrac{15}{10} > \dfrac{14}{10} \implies \dfrac{3}{2} > \dfrac{7}{5}$

b)

$\dfrac{^{3)} 7}{4} = \dfrac{21}{12} \\ \dfrac{^{2)} 11}{6} = \dfrac{22}{12}$

$\dfrac{21}{12} < \dfrac{22}{12} \implies \dfrac{7}{4} < \dfrac{11}{6}$

c)

$\dfrac{^{3)} 9}{8} = \dfrac{27}{24} \\ \dfrac{^{4)} 7}{6} = \dfrac{28}{24}$

$\dfrac{27}{24} < \dfrac{28}{24} \implies \dfrac{9}{8} < \dfrac{7}{6}$

d)

$\dfrac{^{3)} 11}{6} = \dfrac{33}{18} \\ \dfrac{^{2)} 14}{9} = \dfrac{28}{18}$

$\dfrac{33}{18} > \dfrac{28}{18} \implies \dfrac{11}{6} > \dfrac{14}{9}$

e)

$\dfrac{^{5)} 19}{8} = \dfrac{95}{40} \\ \dfrac{^{4)} 21}{10} = \dfrac{84}{40}$

$\dfrac{95}{40} > \dfrac{84}{40} \implies \dfrac{19}{8} > \dfrac{21}{10}$

f)

$\dfrac{^{2)} 26}{15} = \dfrac{52}{30} \\ \dfrac{^{5)} 11}{6} = \dfrac{55}{30}$

$\dfrac{52}{30} < \dfrac{55}{30} \implies \dfrac{26}{15} < \dfrac{11}{6}$

Answer 2

Răspuns:

Explicație pas cu pas:

b)

7/4 . 11/6

21/12 - 22/12, <

c)

9/8 . 7/6

27/24 . 28/24, <

e)

19/8 . 21/10

19x5 /40 - 81/40, 95/40 . 81/40, >

f)

26/15 . 11.6

32/30 . 55/30, <