can 0.714352... be written as a fraction and why?
Yes, 0.714352... can be written as a fraction. To do this, we first represent the repeating part (352) as a single repeating digit. Let x = 0.714352...
Then we multiply both sides of the equation by 1000 to "shift" the decimal places to the right:
1000x = 714.352352...
Subtracting the original equation from this new equation, we get:
1000x - x = 714.352352... - 0.714352...
Simplifying, we have:
999x = 714
Dividing both sides by 999, we get:
x = 714/999
Therefore, 0.714352... can be written as the fraction 714/999.