Respuesta :

Answer:

[tex]\frac{61}{90}[/tex]

Step-by-step explanation:

We require to create 2 equations with the repeated value 7 after the decimal point

Let x = 0.6777777... ← multiply both sides by 10 and 100

10x = 6.777...... → (1)

100x = 67.777..... → (2)

Subtract (1) from (2) thus eliminating the repeating value

90x = 61 ( divide both sides by 60 )

x = [tex]\frac{61}{90}[/tex]

Answer: 0.67 7 repeats forever the answer is 61/90

Step-by-step explanation: it right got it from khan academy