Ответ:
Пошаговое объяснение:
4.
a) 9,(4)+1,(2)=9⁴/₉+1²₉=(85/9)+(11/9)=96/9=32/3;
б) 2,(34)+0,(21)=2³⁴/₉₉+⁷/₃₃=(232/99)+(21/99)=253/99=23/9.
в) 19,(27)-3,(73)=19²⁷/₉₉-3⁷³/₉₉=(1908/99)-(370/99)=1538/99.
г) 6,(5)*18=6⁵/₉*18=(59/9)*18=59*2=118.
д) 8,1(6):2¹¹/₁₉=8¹/₆:⁴⁹/₁₉=(49/6):(49/19)=19/6.
e) 1,(645)-4,(001)=1⁶⁴⁵/₉₉₉-4¹/₉₉₉=(1644/999)-(3996/999)=
=-2352/999=-784/333.
5.
0,(28) 28/99 28 99 0
0,(54) 6/11 6 11 0
0,(3) 17/51 17 51 0
6,2(46) 122/495 122 495 6
1,1(2) 101/90 101 90 1
1,(7) 35/45 35 45 1.
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Verified answer
Ответ:
Пошаговое объяснение:
4.
a) 9,(4)+1,(2)=9⁴/₉+1²₉=(85/9)+(11/9)=96/9=32/3;
б) 2,(34)+0,(21)=2³⁴/₉₉+⁷/₃₃=(232/99)+(21/99)=253/99=23/9.
в) 19,(27)-3,(73)=19²⁷/₉₉-3⁷³/₉₉=(1908/99)-(370/99)=1538/99.
г) 6,(5)*18=6⁵/₉*18=(59/9)*18=59*2=118.
д) 8,1(6):2¹¹/₁₉=8¹/₆:⁴⁹/₁₉=(49/6):(49/19)=19/6.
e) 1,(645)-4,(001)=1⁶⁴⁵/₉₉₉-4¹/₉₉₉=(1644/999)-(3996/999)=
=-2352/999=-784/333.
5.
0,(28) 28/99 28 99 0
0,(54) 6/11 6 11 0
0,(3) 17/51 17 51 0
6,2(46) 122/495 122 495 6
1,1(2) 101/90 101 90 1
1,(7) 35/45 35 45 1.