Question

encontre a fraçao geratriz dizimas periodicas. A)0,777... B)1,233444... C)1,666... D)9,12525

Answer 1

A)0,777... >> (( 7/9 ))



B)1,233444... >> (( 11101/9000 ))

x = 1,233444... (×1000)
1000x = 1233,444...
1000x = 1233 + 0,444...
1000x = 1233 + 4/9 (×9)
9000x = 11097 + 4
9000x = 11101
x = 11101 / 9000



C)1,666... >> (( 150/90 ))

x = 1,666... (×10)
10x = 16,666...
10x = 16 + 0,666...
10x = 16 + 6/9 (×9)
90x = 144 + 6
90x = 150
x = 150 / 90



D)9,12525... >> (( 9034/990 ))

x = 9,12525... ( ×10 )
10x = 91,2525...
10x = 91 + 0,2525...
10x = 91 + 25/99 (×99)
990x = 9009 + 25
990x = 9034
x = 9034 / 990