Question

Qual a fração irredutível de 0, 833...-0,888...​

Answer 1

0,8333...=x(10)

8,333...=10x(10)

83,333...=100x

100x-10x=83,333...-8,333...

90x=75

x=75/90(÷15)

x=5/6

0,888...=x(10)

8,888...=10x

10x-x=8,888...-0,888...

9x=8

x=8/9

5/6+8/9

15+16/18

=31/18