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.
can 0.777... be written as a fraction and why?
3 answers
what kind of decimal would it be
The decimal 0.777... is considered a repeating decimal.