Question

verificati daca urmatoarele perechi de fractii sunt sau nu egale(echivalente) si scrieti semnul corespunzator (= sau ≠) , dupa ce ati efectuat calculele:

a)343434 3434
_______ □ _____
252525 2525

b) abab(barat deasupra) ab ( barat deasupra)
_____ □ ___
cdcd(barat deasupra) cd(barat deasupra)

va rooooooooog dau coroanaaaa♤♤♤♡♡​

Answer 1

Explicație pas cu pas:

a)

$\frac{343434}{252525} = \frac{10101 \cdot 34}{10101 \cdot 25} = \frac{34}{25}$

$\frac{3434}{2525} = \frac{101 \cdot 34}{101 \cdot 25} = \frac{34}{25}$

=>

$\frac{343434}{252525} = \frac{3434}{2525}$

b)

$\frac{\overline {abab}}{\overline {cdcd}} = \frac{1000a + 100b + 10a + 1b}{1000c + 100d + 10c + d} = \frac{1010a + 101b}{1010c + 101d} = \\ = \frac{101(10a + b)}{101(10c + d)} = \frac{10a + b}{10c + d} = \frac{\overline {ab}}{\overline {cd}}$

$\implies \frac{\overline {abab}}{\overline {cdcd}} = \frac{\overline {ab}}{\overline {cd}}$