Question

Verificati daca urmatoarele perechi de fractii sunt sau nu egale(echivalente) si scrieti pe spatiul liber semnul corespunzator(= sau $\neq$)

a)$\frac{34}{68}$ ___ $\frac{24}{72}$
b)$\frac{25}{35}$ ___ $\frac{50}{60}$
c)$\frac{2*7}{3*5}$___ $\frac{4*21}{9*10}$
d)$\frac{a+2*b}{2}$___ $\frac{2*a+4*b}{4}$
e)$\frac{343434}{252525}$___$\frac{3434}{2525}$
f)$\frac{abab}{cdcd}$ ___ $\frac{ab}{cd}$

(la punctul f numerele sunt in baza zece)

Answer 1

34/68 =1/2
24/72=1/3
34/68 ≠ 24/72

25/35=5/7
50/60=5/6
25/35 ≠ 50/60

2*7/3*5=14/15
4*21/9*10=2*7/3*5=14/15
2*7/3*5=4*21/9*10

(a+2b)/2
(2*a+4*b)/4=2(a+2b)/4=(a+2b)/2
(a+2b)/2=(2*a+4*b)/4

343434/252525=34/25  (se simplifica cu 10101)
3434/2525=34/25        (se simplifica cu 101)
343434/252525=3434/2525

abab/cdcd   (se simplifica cu 101)
(1000a+10a+100b+b)/(1000c+10c+100d+d)
(1010a+101b(/(1010c+101d)  se simplifica cu 101
(10a+b)/(10c+d)=ab/cd

abab/cdcd =ab/cd