Repeating Decimals

Links and useful resources

repeating decimals
dividing by 9
writing a fraction with a denominator that's a power of 10 to round it
- Multiply top and bottom by fraction so that denominator becomes 10, 100, etc.
- Look at the numerator for the digits to that place value, and the fractional part tells you directly if it's a round-up or keep situation ( $\geq \frac{1}{2}$ ?)
adding and subtracting repeating decimals
- just be careful to align digits
- Carrying and borrowing can get downright weird: ( $0. \overset{―}{9} = 1)$

What fraction in simplest form is equal to $0.92 \overset{―}{23}$ ?
How much bigger is $0. \overset{―}{473}$ than $0.47$ ? Express answer as fraction.

What fraction in simplest form is equal to $0.7 \overset{―}{34}$ ?
How much bigger is $0. \overset{―}{53}$ than $0.53$ ? Express answer as fraction.