Przedstaw liczbę 2,3(7)+0,(7) w postaci ułamka zwykłego, nieskracalnego.
2,3(7)+0,(7)=3,15(5) =3 15/10= 5/10
2,3(7) = 2,3777...
10x = 23,77
100x = 237,77
-----------------
90x = 237,77 - 23,77
90x = 214
x = 214/90
0,(7) = 0,7777...
x = 0,7777
10x = 7,7777
---------------
9x = 7
x = 7/9
2,3(7) + 0,7 = 214/90 +7/9 = 107/45 +7/9 = 107/45 + 35/45 = 142/45 = 3 7/45
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2,3(7)+0,(7)=3,15(5) =3 15/10= 5/10
2,3(7) = 2,3777...
10x = 23,77
100x = 237,77
-----------------
90x = 237,77 - 23,77
90x = 214
x = 214/90
0,(7) = 0,7777...
x = 0,7777
10x = 7,7777
---------------
9x = 7
x = 7/9
2,3(7) + 0,7 = 214/90 +7/9 = 107/45 +7/9 = 107/45 + 35/45 = 142/45 = 3 7/45