Răspuns :
Explicație pas cu pas:
[tex]\it a)\: \dfrac{1}{3}\\\\\\\dfrac{3}{3}=1 \Rightarrow\dfrac{1}{3}\neq\dfrac{3}{3}\\\\\\b)\:\dfrac{3}{4} \neq\dfrac{5}{7}\\\\\\c)\:\dfrac{11}{55}=\dfrac{1}{5} \\\\\\\dfrac{3}{15}=\dfrac{1}{5}\Rightarrow\dfrac{11}{55}=\dfrac{3}{15}\\\\\\d)\:\dfrac{1}{5}\\\\\\\dfrac{4}{20}=\dfrac{1}{5} \Rightarrow \dfrac{1}{5}=\dfrac{4}{20}\\\\\\e)\:\dfrac{4}{5}\\\\\\\dfrac{24}{300}=\dfrac{2}{25} \Rightarrow\dfrac{4}{5}\neq\dfrac{24}{300}[/tex]
a) 1/2 si 3/3
Sunt 2 metode pentru a verifica daca doua fractii sunt echivalente
Prima metoda:
Amplificam pe 1/2 cu 3 si pe 3/3 cu 2
3/6=6/6 fals
A doua metoda: inmultim mezii cu extremii
1/2=3/3
1×3=2×3
3=6 fals
=> fractiile nu sunt echivalente
b) 3/4=5/7
3×7=4×5
21=20 fals
=> nu sunt echivalente
c) 11/55=3/15
11×15=55×3
165=165 adevarat
=> sunt echivalente
d) 1/5=4/20
1×20=5×4
20=20 adevarat
=> sunt echivalente
e) 4/5=24/300
4×300=5×24
1200=120 fals
=> nu sunt echivalente