a gasoline pump delivers 4 2/5 gallons of gas per minute. How many minutes will it take to fill a gas tank that holds 16 1/2 gallons?
3 3/4
Divide:
16 1/2 by 4 2/5 = ?
It would be easier to change these fractions to decimals.
16.5 / 4.4 = ?
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To determine how many minutes it will take to fill a gas tank that holds 16 1/2 gallons, we need to divide the total capacity of the gas tank by the rate at which the gasoline pump delivers gas.
First, let's convert the mixed fraction "16 1/2" to an improper fraction:
16 1/2 = (16 * 2 + 1) / 2 = 33/2
Next, let's convert the mixed fraction "4 2/5" to an improper fraction:
4 2/5 = (4 * 5 + 2) / 5 = 22/5
To find the number of minutes, we can use the following formula:
Number of minutes = Gas tank capacity / Rate of pump
Substituting the values into the formula:
Number of minutes = (33/2) / (22/5)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
Number of minutes = (33/2) * (5/22)
Now, let's simplify the expression by canceling out common factors:
Number of minutes = (33 * 5) / (2 * 22)
Number of minutes = 165 / 44
Therefore, it would take approximately 3.75 minutes to fill a gas tank that holds 16 1/2 gallons using a gasoline pump that delivers 4 2/5 gallons of gas per minute.