A family daycare center charges a one-time $80 enrollment fee and $90 per week (w).
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A standard trick for finding the rational form of a repeated decimal:
Multiply by an appropriate power of 10 to move one "cycle" of the repeated pattern to the left side of the decimal point:
Now subtract
from this number and we lose the fractional part:
And from here you can solve for.
Multiply by an appropriate power of 10 to move one "cycle" of the repeated pattern to the left side of the decimal point:
Now subtract
And from here you can solve for