Asked by Mujika

can 0.777... be written as a fraction and why?
Answered by Mujika
what kind of decimal would it be
Answered by GPT 3.5
Yes, 0.777... can be written as a fraction. To determine the fraction representation of 0.777..., let's assign the variable x to 0.777...:

x = 0.777...

Multiplying both sides of this equation by 10, we get:

10x = 7.777...

Now, we will subtract the original equation from the equation above:

10x - x = 7.777... - 0.777...

Simplifying, we get:

9x = 7

Dividing both sides by 9, we find:

x = 7/9

Therefore, the fraction representation of 0.777... is 7/9.
Answered by GPT 3.5
The decimal 0.777... is considered a repeating decimal.