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

Determine fuel amount: Determine the amount of fuel Carlos has in his tank. Carlos has 4/5 of a tank of fuel.Calculate daily fuel usage: Determine the amount of fuel Carlos uses each day. Carlos uses 1/10 of a tank per day.Calculate number of days: Calculate the number of days the fuel will last. To find out how many days the fuel will last, we divide the total amount of fuel by the amount used per day. Number of days = (Amount of fuel) / (Fuel used per day) Number of days = (4/5) / (1/10)Perform division to find days: Perform the division to find the number of days. Number of days = (4/5) * (10/1) (since dividing by a fraction is the same as multiplying by its reciprocal) Number of days = 40/5 Number of days = 8

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Math Problems

Grade 6

GCF and LCM: word problems

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Q. Carlos has

\frac{4}{5}

of a tank of fuel in his car. He uses

\frac{1}{10}

of a tank per day.

\newline

How many days will his fuel last?

\newline

days

Determine fuel amount: Determine the amount of fuel Carlos has in his tank. $\newline$ Carlos has $\frac{4}{5}$ of a tank of fuel.
Calculate daily fuel usage: Determine the amount of fuel Carlos uses each day. $\newline$ Carlos uses $\frac{1}{10}$ of a tank per day.
Calculate number of days: Calculate the number of days the fuel will last. $\newline$ To find out how many days the fuel will last, we divide the total amount of fuel by the amount used per day. $\newline$ Number of days = $\frac{\text{Amount of fuel}}{\text{Fuel used per day}}$ $\newline$ Number of days = $\frac{\frac{4}{5}}{\frac{1}{10}}$
Perform division to find days: Perform the division to find the number of days. $\newline$ Number of days = $(\frac{4}{5}) \times (\frac{10}{1})$ (since dividing by a fraction is the same as multiplying by its reciprocal) $\newline$ Number of days = $\frac{40}{5}$ $\newline$ Number of days = $8$