Question

Mda,scuze nu pot sa fac linia de fractie asa ca atunci cand zic "supra" la asta ma refer.

Simplificati fractiile :

102 supra 210

1010 supra 2020

3232 supra 1212

120120 supra 240240

*In baza zece* a0a sprupra *iar baza zece* b0b.


a∈ N , b∈ *N

Answer 1

$\dfrac{\ \ 102^{(^6}}{210} =\dfrac{17}{35}$

Observam ca fractia se poate simplifica prin 2 si prin 3, deci se poate simplifica prin 6.

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$\dfrac{\overline{a0a}}{\overline{b0b}}=\dfrac{100a+a}{100b+b}=\dfrac{101a}{101b}=\dfrac{a}{b}$

Am simplificat, evident, prin 101. 

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$\dfrac{1010}{2020}=\dfrac{101}{202}=\dfrac{101\cdot1}{101\cdot2}=\dfrac{1}{2}$

Am simplificat, prima data, cu 10 (de obicei se taie cate un zerou), apoi am simplificat cu 101.

Answer 2

a102/210=51/10=17/35
am simplificat prin 2 apoi 3
1010/2020=101/202=1/2
(prin 10 apoi 101)
3232/1212=1616/606=808/303=8/3
prin 2,2si101

120120/240240=6060/120120=606/12012=303/606=1/2
prin2,2,10si303
a0a/b0b=10a+a /10b+b=11a/11b=a/b