a car uses 3 1/8 gallons of gasoline per hour when driving on the highway . how many gallons will it use after 4 2/3 hours?
(25/8) * (14/3) = _______ gallons
14 7/12
350/24
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To determine the total amount of gasoline used after 4 2/3 hours, we'll first calculate the gas consumption for 1 hour and then multiply it by the total number of hours.
Let's break it down step by step:
First, we need to convert 4 2/3 into an improper fraction. To do that, we multiply the whole number (4) by the denominator (3), and then add the numerator (2):
4 * 3 + 2 = 12 + 2 = 14
The new numerator (14) becomes the numerator of the improper fraction, and the denominator remains the same:
4 2/3 = 14/3
Next, we need to find the gas consumption for 1 hour. The car uses 3 1/8 gallons of gasoline per hour, which can be written as an improper fraction:
3 1/8 = 25/8
Now, we can multiply the gas consumption per hour by the total number of hours:
25/8 * 14/3
To multiply fractions, we multiply the numerators together and the denominators together:
(25 * 14) / (8 * 3)
The numerator becomes:
25 * 14 = 350
And the denominator becomes:
8 * 3 = 24
Together, these give us the fraction:
350/24
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
350 ÷ 2 = 175
24 ÷ 2 = 12
So the simplified fraction is:
175/12
Therefore, the car will use 175/12 gallons of gasoline after 4 2/3 hours.