How do you change repeating decimals into fractions?
1 Answer
Multiply so that the decimal parts subtract to leave
Example:
Change
Solution: Let
We want two multiples of
And
Subtracting the first from the second, we get:
So
Easier example
Change
The repeating part is 246, so we want two multiples with that for their decimal parts.
We can use the 'multiple'
And
Subtracting the first from the second gives us:
So