Question

Comparati fractiile : a = [(5/2+5/4-3/4):5+2/5]^5 ; si b = (2intregi 1/3+3intregi 1/2):7/12-[3intregi 1/3:1/3-3:3/10+3/2:(1/2)^2].

Answer 1

la a amplificam cu 2

a=[(10/4+5/4-3/4):5+2/5]^5

a=(12/4:5+2/5)^5

inversam pe 5 si da

a=(12/4×1/5+2/5)^5

a=(12/20+2/5)^5

amplificam pe 2/5 cu 4

a=(12/20+8/20)^5

A=20^5

b=(7/3+7/2):7/12-[10/3:1/3-3:3/10+3/2:(1/2)^2]

b=35/6×12/7-[10/3×3/1-3×10/3+3/2×(2/1)^2]

b=245/72-(10-10+3/2×4/1)

b=245/72-(0-12/2)

b=245/72+12/2

b=245/72+432/72

b=677/72

a>b