Question

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a) {[0,(3)+3/11+1,(23)]:(45:0,09+8/3)}×1914 =​

Answer 1

Răspuns:

Explicație pas cu pas:

{[0,(3)+3/11+1,(23)]: (45:0,09+8/3)}x1914=

{[3/9+3/11+(123-1)/99]:(4500:9+8/3)}x1914=

{[ ³³⁾1/3+⁹⁾3/11+122/99]:(³⁾500+8/3)}x1914=

{[33/99 +27/99+122/99):( 1500+8/3)}x1914=

[(33+27+122)/99]:[(1500+8)/3]x1914=

(182/99): (1508/3) x1914=

(182²⁾/99⁽³x3/1508²⁾)x1914=

(91/3x1754)x1914=

(91x1)/(754x3) x1914=

91/24.882⁽¹⁹¹⁴x1914=

91/13=7

Answer 2

Răspuns:  7

Explicație pas cu pas:

0,(3) = 3/9 = 1/3

1,(23) = ( 123 - 1 ) / 99 = 122/99

__________________________

{[0,(3)+3/11+1,(23)]:(45:0,09+8/3)}×1914 =​

= [ ( 1/3 + 3/11 + 122/99 ) : ( 45 : 9/100 + 8/3 ) ] × 1914 =

= [ ( 33/99 + 27/99 + 122/99 ) : ( 45 × (100/9) +8/3] × 1914 =

= [ ( 182/99 ) : ( 5×100 + 8/3) ] × 1914 =

= [ ( 182/99) : ( 1508/3) ] × 1 914 =

= [ ( 182/99 ) × ( 3/1508) ] × 1914 =

= [ ( 3/99) × (182/1508)] × 1914 =

= [ (1/33) × (91/754) ] × 1914 =

=  [7/(33 ×58)]×1914 =

= ( 7/1914) × 1914 =

= 7