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Carlos has 
(4)/(5) of a tank of fuel in his car. He uses 
(1)/(10) of a tank per day. How many days will his fuel last? days

Carlos has 45 \frac{4}{5} of a tank of fuel in his car. He uses 110 \frac{1}{10} of a tank per day. \newlineHow many days will his fuel last? \newlinedays

Full solution

Q. Carlos has 45 \frac{4}{5} of a tank of fuel in his car. He uses 110 \frac{1}{10} of a tank per day. \newlineHow many days will his fuel last? \newlinedays
  1. Determine fuel amount: Determine the amount of fuel Carlos has in his tank.\newlineCarlos has 45\frac{4}{5} of a tank of fuel.
  2. Calculate daily fuel usage: Determine the amount of fuel Carlos uses each day.\newlineCarlos uses 110\frac{1}{10} of a tank per day.
  3. Calculate number of days: Calculate the number of days the fuel will last.\newlineTo find out how many days the fuel will last, we divide the total amount of fuel by the amount used per day.\newlineNumber of days = Amount of fuelFuel used per day\frac{\text{Amount of fuel}}{\text{Fuel used per day}}\newlineNumber of days = 45110\frac{\frac{4}{5}}{\frac{1}{10}}
  4. Perform division to find days: Perform the division to find the number of days.\newlineNumber of days = (45)×(101)(\frac{4}{5}) \times (\frac{10}{1}) (since dividing by a fraction is the same as multiplying by its reciprocal)\newlineNumber of days = 405\frac{40}{5}\newlineNumber of days = 88

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