Question

efectuați: exercițiile sunt in poză. dacă s-ar putea as vrea scris pe o foaie sau desen digital​

Answer 1

c) $\frac{\frac{1}{7}:\frac{3}{5}}{\:\frac{3}{7}\cdot \frac{5}{6}} = \frac{2}{3}$

$\frac{\frac{1}{7}}{\frac{3}{5}}=\frac{1\cdot \:5}{7\cdot \:3} =\frac{5}{7\cdot \:3} =\frac{5}{21}$

$\frac{3}{7}\cdot \frac{5}{6} =\frac{3}{7}\cdot \frac{5}{3\cdot \:2} =\frac{1}{7}\cdot \frac{5}{2} =\frac{1\cdot \:5}{7\cdot \:2} =\frac{5}{7\cdot \:2}=\frac{5}{14}$

$\frac{\frac{5}{21}}{\frac{5}{14}} =\frac{5\cdot \:14}{21\cdot \:5} =\frac{14}{21} =\frac{7\cdot \:2}{21} =\frac{7\cdot \:2}{7\cdot \:3} =\frac{2}{3}$

d)  $\frac{\frac{7}{24}}{\frac{32}{12}}=\frac{7}{64}$

$\frac{\frac{7}{24}}{\frac{32}{12}}=\frac{7\cdot \:12}{24\cdot \:32} =\frac{7\cdot \:12}{12\cdot \:2\cdot \:32} =\frac{7}{2\cdot \:32} =\frac{7}{64}$

e) $\frac{\frac{35}{108}}{\frac{385}{324}}=\frac{3}{11}$

$\frac{\frac{35}{108}}{\frac{385}{324}}=\frac{35\cdot \:324}{108\cdot \:385} =\frac{35\cdot \:3}{385}=\frac{35\cdot \:3}{35\cdot \:11}=\frac{3}{11}$

f) $\frac{2\frac{19}{49}}{5\frac{4}{7}}=\frac{3}{7}$

$\frac{2\frac{19}{49}}{5\frac{4}{7}} = \frac{\frac{117}{49}}{\frac{39}{7}}=\frac{117\cdot \:7}{49\cdot \:39} =\frac{3\cdot \:7}{49} =\frac{3\cdot \:7}{7\cdot \:7} =\frac{3}{7}$

Sper că te-am ajutat!

Succes!

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