A fish swam 75 feet to the bottom of the river. The fish then swam up 35 feet towards the surface of the river and stopped. How
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Answer:
To fill the aquarium, she will need to fill the container 320 times.
Step-by-step explanation:
This question can be solved using a rule of three.
Each pint has 0.125 gallons.
So each fill of the container contains 0.125 gallons. How many fills are needed for 40 gallons?
1 fill - 0.125 gallons
x fills - 40 gallons
To fill the aquarium, she will need to fill the container 320 times.
The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as
for any
, so the above is the same as
Similarly, we can write
Now it's a question of reducing the fraction as much as possible. We have so